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Publication Date: 2025
Results in Engineering (25901230) pp. 71-82
The purpose of this study is to present a comprehensive framework for analyzing contagious diseases. The primary objective is to determine whether the outbreak dynamics of a contagious disease follow a constant or variable non-integer order. The methodology involves a three-phase process: selecting an appropriate model, estimating its parameters, and identifying the order of derivation. To address this, the SEIAR non-integer order dynamic model is employed, enhancing the precision of disease spread estimation. A heuristic approach is proposed for parameter estimation using a Genetic Optimization Algorithm, which evaluates all possible scenarios for the order and suggests parameter sets that perform well across these scenarios. Subsequently, an adaptive identification method is introduced to estimate the variable order of the model while keeping the parameters constant. The approach is validated on the Delta and Omicron variants of the Coronavirus epidemic in Iran. The variable-order model achieves a Mean Absolute Percentage Error (MAPE) of 0.80 % for the Delta variant and 0.51 % for the Omicron variant, significantly outperforming the best constant-order models with MAPEs of 0.92 % and 1.32 %, respectively. These results demonstrate the model's superior accuracy in predicting the epidemic's progression. These findings significantly contribute to the understanding and management of contagious diseases. Evidence is provided that the pandemic in Iran follows a variable non-integer order dynamic model, supporting the hypothesis that disease outbreaks exhibit variable non-integer order behavior due to their inherent complexity. The proposed framework can be generalized to other diseases and regions, offering a robust tool for epidemic analysis and decision-making. © 2025
Amini harandi, A. ,
Jafari khaljiri, H. ,
Jahangiri zarkani, N. ,
Pakdaman, H. ,
Khalili, N. Publication Date: 2025
Neurologist (10747931) 30(6)pp. 360-364
OBJECTIVES: Cerebral venous sinus thrombosis (CVST) often leads to seizures, potentially worsening prognosis. This study aimed to assess the relationship between specific occlusion sites and seizure occurrence. METHODS: We retrospectively analyzed 154 patients diagnosed with CVST in 3 major hospitals in Tehran. Medical records detailing sinus involvement, seizure occurrence, and baseline characteristics were reviewed. Statistical analyses included the χ 2 or the Fisher exact tests, followed by binomial logistic regression to identify independent predictors. Model performance was evaluated using receiver operating characteristic (ROC) curves. RESULTS: The study included 102 women (66.2%) and 52 men (33.8%), with a mean age of 36.4±10.8 years. A total of 35 patients (22.7%) experienced seizures, predominantly generalized tonic-clonic (85.7%). Superior sagittal sinus (SSS) involvement was strongly associated with seizures (odds ratio=3.056, P =0.006), while left transverse sinus involvement showed a marginally significant inverse relationship in univariate analysis ( P =0.027), which became nonsignificant in the multivariate model ( P =0.056). Trolard vein thrombosis was rare but associated with a high seizure rate (3/4 cases). The ROC for the final model showed moderate predictive ability (AUC=0.676). CONCLUSION: SSS thrombosis significantly predicted seizures in Iranian CVST patients. Although rare, trolard vein involvement may carry a substantial seizure risk. These findings underscore the importance of precise imaging and individualized treatment plans for high-risk CVST patients. By illuminating the role of SSS and trolard vein, this study highlights the need for prospective trials to refine clinical decision-making. Copyright © 2025 Wolters Kluwer Health, Inc. All rights reserved.
Publication Date: 2025
Journal of Mathematical Analysis and Applications (10960813) 543(2)
In this paper, we first compute the Banaś modulus of smoothness of Lp(μ), which gives a solution to the problem posed by Banaś in 1986 (see Problem 4 of Banas (1986) [1]). Then, we introduce and calculate Gao Pythagorean constant of Lp(μ), which extends and improves some main results of Gao (2006) [3]. © 2024 Elsevier Inc.
Pezeshki L. ,
Sadeghian, H. ,
Mohebbi A. ,
Keshmiri m., M. ,
Haddadin S. ,
Amini harandi, A. ,
László, S. Publication Date: 2025
IEEE Transactions on Automation Science and Engineering (15455955) pp. 13298-13309
Recent studies underscore the importance of the patient’s active contribution and voluntary effort in enhancing therapy outcomes in physical rehabilitation. This paper presents an adaptive control scheme to implement active robotic rehabilitation. The primary goal is to dynamically regulate robotic assistance based on the patient’s performance and individual conditions, encouraging active participation, and effective therapy. To achieve this, a Lyapunov-based adaptive algorithm is developed that dynamically adjusts the admittance parameters by balancing the error and effort minimization. A novel performance index based on human energy input enables real-time identification of the intended human sharing role. This index is used as an adaptive rate in the proposed algorithm to enhance the control system’s dynamic responsiveness to changes in human performance. The proposed approach achieves two main rehabilitation objectives. First, it encourages active and safe human participation. Second, it enhances the therapy by providing personalized assistance, tailored to individual abilities and conditions, and thus reduces the need for therapist intervention. The performance of the proposed approach is illustrated in experimental studies. The results demonstrate the adaptability of the algorithm, ensuring compliant and safe interaction and effective task completion. © 2004-2012 IEEE.
Publication Date: 2025
Applied Neuropsychology: Adult (23279095)
Executive functions are frequently impaired in individuals with epilepsy. Understanding the patterns of these dysfunctions is essential for effective management of epileptic patients. To comprehend these patterns, we aimed to investigate executive function performance in adult epileptic patients. Thirty adults with epilepsy, along with fifty healthy controls matched for age, gender, and education were administered standard performance-based executive tasks, including Digit Span Forward and Backward, Trail Making Test A and B, Design Fluency Regular and Irregular, and Semantic Verbal Fluency. Results indicated that Digit Span Forward and Backward tests were the most frequently impaired, with 80% and 90% of patients showing impairments, respectively. The Semantic Verbal Fluency task had the lowest frequency of impairment, with a 30% prevalence among patients. Additionally, a higher frequency of seizures significantly predicted longer completion times for Trail Making Test A (beta = 0.281, p = 0.030) and Trail Making Test B (beta = 0.586, p = 0.001), as well as lower total executive function scores (beta = −0.429, p = 0.000). No significant associations were found between executive function and age of onset or number of antiepileptic drugs. Our results indicate that adult epileptic patients display substantial executive dysfunction, particularly in working memory and cognitive flexibility and highlight the detrimental effect of inadequately controlled epilepsy and high seizure frequency on exacerbating these impairments. This underscores the importance of regular executive function assessments in the management of epileptic patients, tailored to individual needs and performance levels, to optimize care and improve quality of life. © 2025 Taylor & Francis Group, LLC.
Publication Date: 2024
Fixed Point Theory (15835022) 25(1)pp. 163-170
Let C be a nonempty closed bounded (not necessary convex) subset of a Banach space X and let T: C → C be an (α, β)-nonexpansive mapping with α > 0, β > 0 and α + β < 1. In this paper, we show that T has a unique fixed point. Moreover, T is a Picard operator if and only if T is asymptotically regular. © 2024, House of the Book of Science. All rights reserved.
Bastami M. ,
Abbasnejadfard M. ,
Aslani M. ,
Abbasnejadfard M. ,
Hayatiani R. ,
Farajzadeh a.p., A.P. ,
Amini harandi, A. ,
Kazmi k.r., Publication Date: 2024
ACI Materials Journal (0889325X) (1)pp. 79-92
Polymer concrete (PC) sewer pipelines are subjected to corrosive environments during their operation time. The aim of this study is to investigate the effect of sulfuric acid on the mechanical characteristics of PC. In this context, specimens were submerged in 5 and 15% sulfuric acid solutions (named SP5 and SP15, respectively) up to 180 days and then subjected to monotonic and cyclic compressive and tensile loadings. Results demonstrated that the specimens that were immersed in 15 vol% of sulfuric acid (MC15 and MT15) had the greatest losses in compressive and tensile strength, which were 33% and 21% (70 and 8 MPa), respectively, compared to the control specimens. Peak strain, compressive strength, and energy absporption capacity (EA) for MC15 are approximately 1.6, 2, and 1.7 times higher than corresponding values for normal concrete. Corroded PC specimens still have a substantially higher strength and energy absorption capacity than cement-based concrete. Based on the obtained results, stress-strain relationships were proposed for SP5 and SP15 in compression and tension. Copyright © 2024, American Concrete Institute. All rights reserved.
Publication Date: 2024
Mathematical Inequalities and Applications (13314343) 27(3)pp. 659-667
In this paper, we calculate CNJ(p)(Lr(Ω,Σ,μ)) and C̃NJ(p)(Lr(Ω,Σ,μ)), where (Ω,Σ,μ) is a measure space and r > 1 . © 2024 Element D.O.O.. All rights reserved.
Publication Date: 2023
Miskolc Mathematical Notes (17872405) 24(3)pp. 1117-1126
In this paper, we obtain a generalization of a fixed point theorem given by Popescu [O. Popescu, Comput. Math. Appl., vol. 62, no. 10, pp. 3912–3919, 2011]. An example is also given to support our main result. © (2023) Miskolc University Press
Amini harandi, A. ,
Pakdaman, H. ,
Karamiani, F. ,
Mohammadi, F. ,
Shirzadeh barough, S. ,
Siavoshi, F. ,
Ilkhani, S. ,
Sahraian, M. Publication Date: 2023
Neurological Sciences (15901874) 44(1)pp. 393-396
Background: Fampridine is a potassium channel blocker drug used to improve walking ability in patients with multiple sclerosis (MS). We evaluated the effect of fampridine in patients with MS in the acute phase of transverse myelitis. Methods: In a randomized, placebo-controlled trial, 30 patients who had their first episode of cervical myelitis with quadriparesis presentation, with the final diagnosis of MS, were randomly divided into two equal groups. The intervention group received intravenous methylprednisolone (IVMP) for 7 days plus fampridine. The placebo group received IVMP for 7 days plus placebo. To compare the treatment results, we compared the Barthel index (BI) scores of the groups at the start of the trial and the 21st day after the start of treatment. Results: There was no significant difference in baseline characteristics between the intervention and placebo groups in terms of mean age, sex, and mean admission BI (p > 0.05). Mean (SD) admission BI in placebo and intervention groups was 27.20 (7.341) and 27.87(5.78), respectively (p = 0.784). The measured mean (SD) BI after treatment was 48.73 (15.54) in the placebo and 64.93 (11.81) in the intervention group (p = 0.003) after 3 weeks. Conclusion: Using fampridine plus IVMP in the acute phase of transverse myelitis in MS patients improved the disease’s symptoms and increased the daily activity ability of patients. © 2022, Fondazione Società Italiana di Neurologia.
Pakdaman, H. ,
Gharagozli, K. ,
Karamiani, F. ,
Shamsi goushki, M. ,
Moini, S. ,
Sobhanian, A. ,
Maghsoudlu, F. ,
Esfandani, A. ,
Hosseini, M.H. ,
Amini harandi, A. Publication Date: 2023
Medicine (United States) (00257974) 102(23)
Background: Hypoxic-ischemic brain injury (HIBI) is a disabling consequence of cardiopulmonary resuscitation, which has no direct treatment except supportive care. Many studies have used pharmacological agents to reduce or stop this disability. MLC901 is a traditional Chinese medicine showing neuroprotective and regenerative effects on focal and global ischemia in previous animal and human studies. We designed an experimental, randomized, double-blind, placebo-controlled study to analyze MLC901 efficacy in HIBI patients. Methods: In a randomized, placebo-controlled trial, 35 patients with HIBI were randomly designated to receive either MLC901 or placebo capsules 3 times per day over 6 months. We assessed the 2 groups by modified Rankin Scale and Glasgow Outcome Scale at baseline, and follow-up visits in 3rd month, and 6th-month after injury. Results: Thirty-one patients completed this study. There was no significant difference in baseline characteristics between the 2 groups as regards age, gender, time of resuscitation, the interval between injury and start of the intervention, and the length of intensive care unit stay. Both the placebo and intervention groups improved during the investigation. However, the Glasgow Outcome Scale and modified Rankin Scale scales were significantly improved in the MLC901 group compared to the placebo after 6 months (P < .05) with close to no adverse effects. No major side effect was reported. Conclusion: MLC901 has shown, compared to placebo, a statistically better improvement at 6 months in neurological functions of patients with HIBI. Copyright © 2023 the Author(s). Published by Wolters Kluwer Health, Inc.
Amini harandi, A. ,
Siavoshi, F. ,
Shirzadeh barough, S. ,
Amini harandi, A. ,
Pakdaman, H. ,
Sahraian, M. ,
Fathtabar, Z. ,
Mohammadi, F. ,
Karamiani, F. ,
Ardehali, S.H. Publication Date: 2022
NeuroImmunoModulation (14230216) 29(4)pp. 476-485
Background: Growing bodies of evidence suggest that angiogenesis plays a crucial role in the development and progression of multiple sclerosis (MS). Vascular endothelial growth factor (VEGF) is one of the key factors involved in angiogenesis. Because of this importance, we investigated the serum levels of VEGF in MS patients according to their clinical phase and subtype of MS in this study. Material and Methods: This case-control study was done on 47 definite MS patients with the first clinical attack and 47 randomly selected individuals without any underlying inflammatory and autoimmune disease as the control group. The total serum VEGF level was measured from the subject's peripheral blood sample by ELISA during the first and second attacks of MS and 6 months after the first attack in the remission phase as well as the control group. In addition, the correlation between these variables and the influence of gender, age, and duration of the remission phase on such associations was evaluated by using the independent t test and Pearson's correlation coefficient. Results: There was an increase in the serum level of VEGF in all phases of MS compared with non-MS individuals (p value <0.0001) and a significant correlation between the serum level of VEGF and the interval between first and second attacks (r = -720, p < 0.0001). A higher serum level of VEGF in the first attack leads to higher VEGF levels in the second and sixth mount of remission phases. Conclusion: Rise in the serum VEGF level may be involved in MS's relapsing phases and a shorter remission phase. Therefore, it could be used as a prognostic and predictive biomarker for MS disease. Copyright © 2022 S. Karger AG, Basel. All rights reserved.
Jafari khaljiri, H. ,
Jamalkhah, M. ,
Amini harandi, A. ,
Pakdaman, H. ,
Moradi, M. ,
Mowla, A. Publication Date: 2021
Neurotoxicity Research (14763524) 39(5)pp. 1613-1629
Aside from the respiratory distress as the predominant clinical presentation of SARS-CoV-2 infection, various neurological complications have been reported with the infection during the ongoing pandemic, some of which cause serious morbidity and mortality. Herein, we gather the latest anatomical evidence of the virus’s presence within the central nervous system. We then delve into the possible SARS-CoV-2 entry routes into the neurological tissues, with the hematogenous and the neuronal routes as the two utmost passage routes into the nervous system. We then give a comprehensive review of the neurological manifestations of the SARS-CoV-2 invasion in both the central and peripheral nervous system and its underlying pathophysiology via investigating large studies in the field and case reports in cases of study scarcity. © 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.
Publication Date: 2021
Journal of Mathematical Analysis and Applications (10960813) 502(1)
In this paper, we first obtain a characterization of transfer weakly lower continuous functions. Then, by introducing the class of nearly quasi-closed set-valued mappings, we obtain some characterizations of set-valued mappings whose displacement functions are transfer weakly lower continuous. We also present some fixed point theorems for nearly quasi-closed set-valued mappings which are either nearly almost convex or almost affine. Finally, we construct an almost affine mapping T:[0,1)→R, which is not α-almost convex for any continuous and strictly increasing function α:[0,+∞)→[0,+∞) with α(0)=0. This example gives an affirmative response to the Question 3 of Jachymski (2015) [8]. © 2021 Elsevier Inc.
Publication Date: 2021
Journal of Functional Analysis (10960783) 281(10)
The maximal roundness of a metric space is a quantity that arose in the study of embeddings and renormings. In the setting of Banach spaces, it was shown by Enflo that roundness takes on a much simpler form. In this paper we provide simple computations of the roundness of many standard Banach spaces, such as ℓp, the Lebesgue-Bochner spaces ℓp(ℓq) and the Schatten ideals Sp. We also introduce a property that is dual to that of roundness, which we call coroundness, and make explicit the relation of these properties to the geometric concepts of smoothness and convexity of Banach spaces. Building off the work of Enflo, we are then able to provide multiple non-trivial equivalent conditions for a Banach space to possess maximal roundness greater than 1. Using these conditions, we are able to conclude that certain Orlicz spaces possess non-trivial values of roundness and coroundness. Finally, we also use these conditions to provide an explicit example of a 2-dimensional Banach space whose maximal roundness is not equal to that of its dual. © 2021 Elsevier Inc.
Publication Date: 2019
Numerical Functional Analysis and Optimization (15322467) 40(5)pp. 603-619
In this article, in the setting of metric spaces we introduce the notions of noncyclic and cyclic Fisher quasi-contraction mappings. We establish the existence of an optimal pair of fixed points for a noncyclic Fisher quasi-contraction mapping and iterative algorithms are furnished to determine such optimal pair of fixed points. For a cyclic Fisher quasi-contraction mapping, we also study the existence of best proximity points. Presented results extend and improve some recent results in the literature. © 2019, © 2019 Taylor & Francis Group, LLC.
Publication Date: 2019
Interdisciplinary Neurosurgery: Advanced Techniques and Case Management (22147519) 17pp. 129-130
Background: Systemic Lupus Erythematosus (SLE) is an auto-immune systemic disorder that may affect multiple organ systems including central nervous system. Although involvement of the nervous system and eye is not uncommon in SLE, the presence of intracranial hypertension (IH) with papilledema in SLE a rare occurrence and it requires high level of suspicion to be diagnosed, especially when the combination of IH and papilledema is the initial presentation of SLE. Case presentation: A 21-year-old female presented with a month long history of progressively deteriorating bilateral frontotemporal headache of throbbing quality. In neurological examination the only finding was bilateral papilledema with mild peripheral visual field Constriction. A brain Magnetic Resonance Imaging (MRI), MR angiography and venography showed no abnormal findings. Cerebrospinal fluid (CSF) analysis revealed a high opening pressure (320 mm H2O) with normal CSF indices. She also had normocytic, normochromic anemia, mild thrombocytopenia, increased quantitative CRP, ESR and LE cell was also reported. Upon further work-up, it was revealed that she had positive ANA and Anti-ds-DNA, decreased level of complement C3 and C4. She, with SLE, was treated with corticosteroid which resulted in significant improvement in patient's manifestation of IH. Conclusions: The association of IH and SLE has already been established and one should be aware of this coexistence and in IH cases, SLE should also be considered as an underlying cause and subsequently appropriate diagnostic tests should be performed. © 2019
Publication Date: 2019
Mediterranean Journal of Mathematics (16605454) 16(4)
In this paper, we first introduce a family of geometric constants of a real normed space X and give some results concerning these constants. Then, we give some characterizations of Hilbert spaces and uniformly non-square spaces and obtain sufficient conditions for normal structure related to these constants. © 2019, Springer Nature Switzerland AG.
Pakdaman, H. ,
Abbasi, M. ,
Gharagozli, K. ,
Ashrafi, F. ,
Delavar kasmaei, H. ,
Amini harandi, A. Publication Date: 2018
Neurological Sciences (15901874) 39(12)pp. 2107-2113
Background and aim: Interferon beta is currently the first line treatment of relapsing-remitting multiple sclerosis (RRMS). Different formulations of interferon beta are available. Avonex and CinnoVex are two interferon beta-1a being prescribed by neurologists in Iran. The aim of this study was to compare the four and half year outcome of Avonex and CinnoVex in patients with RRMS. Methods: A total 186 of patients with definite RRMS diagnosis were followed for four and half years. Patients were randomly assigned to receive either Avonex or CinnoVex. Patients were subsequently visited every 6 months, and MRI was also undertaken prior each visit. The efficacy end points were to compare mean scores of expanded disability status scale (EDSS) and the proportion of patients with MRI and clinical activity in follow-up visits between Avonex and CinnoVex. Safety end point was to compare the percentage of adverse events between two groups. Results: One hundred and eighty-two patients completed the study. The population of study experienced a steady increase in EDSS during follow-up with a mean increase of 1.03. Repeated measures ANOVA revealed no statistically significant difference between Avonex and CinnoVex (p = 0.78). The most common adverse events were headache, myalgia, fatigue, fever, flu symptoms, injection site pain, and depression. Direct comparison of each adverse events revealed no meaningful difference between two groups except for only a few adverse events. There was no statistically significant difference in MRI activity and clinical activity between two groups. Conclusion: Avonex and CinnoVex showed similar efficacy and safety outcome in patients with RRMS. © 2018, Springer-Verlag Italia S.r.l., part of Springer Nature.
Publication Date: 2018
Journal of Mathematical Analysis and Applications (10960813) 467(2)pp. 1168-1173
In this paper, we define the class of (α,β)-nonexpansive mappings which is properly larger than the class of α-nonexpansive mappings and prove that every (α,β)-nonexpansive mapping T:C→C has an approximate fixed point sequence, where C is a nonempty bounded subset of a Banach space X, α>0 and β≥0. This, in particular, gives an affirmative answer to the open question posed by Ariza-Ruiz and et al. concerning the existence of an approximate fixed point sequence for α-nonexpansive mappings, Ariza-Ruiz et al. (2016) [4]. © 2018 Elsevier Inc.
Publication Date: 2018
Reviews in the Neurosciences (21910200) 29(8)pp. 873-882
Balo's concentric sclerosis (BCS) is considered a variant of multiple sclerosis characterized by concentric lamella of alternating demyelinated and partially myelinated tissues. It is a rare and a relatively acute condition. Attacks may proceed rapidly over weeks or months, typically without remission, like Marburg's variant, resulting in death or severe disability. However, the majority of cases have a more benign, self-limiting course with spontaneous remission. Magnetic resonance imaging is a primary imaging modality in the diagnosis of BCS. Treatment with intense immunosuppression may be indicated in patients with more aggressive form. New reports reveal more evidence regarding the pathophysiology and treatment strategies. © 2018 Walter de Gruyter GmbH, Berlin/Boston 2018.
Publication Date: 2018
Mathematical Inequalities and Applications (13314343) 21(1)pp. 287-300
Let (X,) be a real normed space and let θ : (0,∞) → (0,∞) be an increasing function such that t → t/θ(t) is non-decreasing on (0,∞) . For such function, we introduce the notion of θ-angular distance aθ [x,y], where x,y ϵ X \{0}, and showthat X is an inner product space if and only if aθ [x,y] ≤ 2 x-y/θ x+θ y for each x,y ϵ X \{0}. Then, in order to generalize the Dunkl-Williams constant of X [10], we introduce a new geometric constant CF (X) for X wrt F , where F : (0,∞)×(0,∞)→(0,∞) is a given function, and obtain some characterizations of inner product spaces related to the constant CF (X) . Our results generalize and extend various known results in the literature. © ELEMEN , Zagreb.
Publication Date: 2018
Journal of Fixed Point Theory and Applications (16617738) 20(1)
Let (X, d) be a metric space, Y be a nonempty subset of X, and let T: Y→ P(X) be a non-self multivalued mapping. In this paper, by a new technique we study the fixed point theory of multivalued mappings under the assumption of the existence of a bounded sequence (xn)n in Y such that Tnxn⊆ Y, for each n∈ N. Our main result generalizes fixed point theorems due to Matkowski (Diss. Math. 127, 1975), Wȩgrzyk (Diss. Math. (Rozprawy Mat.) 201, 1982), Reich and Zaslavski (Fixed Point Theory 8:303–307, 2007), Petruşel et al. (Set-Valued Var. Anal. 23:223–237, 2015) and provides a solution to the problems posed in Petruşel et al. (Set-Valued Var. Anal. 23:223–237, 2015) and Rus and Şerban (Miskolc Math. Notes 17:1021–1031, 2016). © 2018, Springer International Publishing AG, part of Springer Nature.
Pakdaman, H. ,
Amini harandi, A. ,
Gharagozli, K. ,
Abbasi, M. ,
Tabassi, A. ,
Ashrafi, F. ,
Ghaffarpor, M. ,
Sharifi, S. ,
Delavar kasmaei, H. ,
Assarzadegan, F. Publication Date: 2017
International Journal of Neuroscience (00207454) 127(6)pp. 501-507
Purpose: Multiple sclerosis (MS) requires long-term therapy and can affect many aspects of a patient's life, including quality of life. MS patients score lower on health-related quality of life (HRQoL) measures. The efficacy of subcutaneous interferon (IFN) β-1a has been extensively evaluated by using objective measures but its impact on HRQoL is currently unclear. In this observational study, we evaluated HRQoL of Iranian patients with relapsing-remitting MS (RRMS) treated with IFN β-1a by using short-form 36 (SF-36) and multiple sclerosis international quality of life (MusiQoL) questionnaires. Methods: Four hundred recruited RRMS patients were treated with human serum album free IFN β-1a for 1 year. Patients were required to fill in SF-36 and MusiQoL questionnaires at the first visit and at each follow-up visit. Expanded disability status scale (EDSS) evaluation was performed at baseline and at each visit. Comparisons in HRQoL between visits were calculated using Cohen's d effect size. The relationship between change in EDSS score and the score of each questionnaire was calculated using Pearson correlation coefficients. Results: Three-hundred and eighty three completed the study. Two-hundred and thirty nine were female. Mean (SD) age was 28.75 (±5.49). After 1 year, overall MusiQoL Index score effect size was −0.16 and SF-36 physical component and mental component showed overall effect sizes of −0.28 and −0.53, respectively. Mean (range) EDSS change was 1 (1–4). Three-hundred and seventy four were clinically stable with mean (range) EDSS change of 0.1 (−2–0.5). Increase in EDSS was linked to a decrease in both MusiQoL and SF-36. Conclusion: We found that, HRQoL did not change significantly over the first year of therapy. Furthermore, decreases in HRQoL were inversely correlated with increases in EDSS score. Copyright © 2016 Informa UK Limited, trading as Taylor & Francis Group.
Publication Date: 2017
Journal of Nonlinear and Convex Analysis (13454773) 18(3)pp. 361-368
In this paper, we study P-property and the best proximity point theory. In fact, by using the P-property, we obtain the best proximity counterpart of the many well-known mixed point theorems for multivalued and single valued mappings in the setting of metric spaces and Banach spaces. Presented theorems extend and improve some recent results in the literature. © 2017. Journal of Nonliner and Convex Analysis. All rights reserved.
Publication Date: 2017
Journal of Fixed Point Theory and Applications (16617738) 19(4)pp. 2349-2360
In this paper, in the setting of complete metric spaces we establish some fixed point theorems for non-self mappings of contractive type satisfying either the Reich–Zaslavski property or the approximate fixed point property. As applications, we obtain some results in endpoint theory. © 2017, Springer International Publishing.
Publication Date: 2016
SIAM Journal on Optimization (10526234) 26(4)pp. 2847-2862
The main goal of this paper is to obtain a generalization of the Weierstrass theorem for transfer weakly lower continuous functions on noncompact topological spaces. To achieve this goal, the notion of a quasi-regular-global-inf (qrgi) function on a topological space is introduced, some equivalent statements are given, and a Weierstrass-Type theorem for such functions is proved. Moreover, the well-posedness of the minimization problem for regular-global-inf (rgi) and qrgi functions is studied. Furthermore, in the setting of reexive Banach spaces the existence of global minimum points of noncoercive qrgi and transfer weakly lower continuous functions are investigated. We also introduce the concept of nearly quasi-convexity of a function, as a generalization of the quasi-convexity notion, and present a result on the minimization problem of these functions. © 2016 Society for Industrial and Applied Mathematics.
Pakdaman, H. ,
Amini harandi, A. ,
Abbasi, M. ,
Karimi, M. ,
Arami, M.A. ,
Mosavi, S.A. ,
Haddadian, K. ,
Rezaei, O. ,
Sadeghi, S. ,
Sharifi, G. Publication Date: 2016
Neurological Sciences (15901874) 37(11)pp. 1773-1778
Drug-resistant epilepsy seems like a different disease compared with easy to control epilepsy, and new strategies are needed to help these patients. Vagus nerve stimulation (VNS) therapy is the most frequently used neurostimulation modality for patients with drug-resistant epilepsy who are not eligible for seizure surgery. In this study, we aimed to evaluate the efficacy and adverse effects of VNS in patients with drug-resistant epilepsy in an open-label, prospective, long-term study in Iran. We selected 48 patients with partial-onset drug-resistant epilepsy. Implantations were performed in the neurosurgery department of Loghman Hospital, Tehran, Iran. Follow-up visits were done on monthly bases for 5 years. Forty-four patients completed the study. Mean age of patients was 24.4 years. Mean years of epilepsy history was 14 years. The mean number of anti-epileptic drugs did not significantly change over five years (p = 0.15). There was no exacerbation of epilepsy; however, one patient discontinued his therapy due to unsatisfactory results. Five patient had more than 50 %, and 26 patients (59 %) had 25–49 % reduction in the frequency of monthly seizures persistently. Overall mean frequency of monthly seizures decreased by 57.8, 59.6, 65, 65.9, and 67 %, in 1st, 2nd, 3rd, 4th, and 5th years of follow-up, respectively. Most common side effects were as follows: hoarseness (25 %) and throat discomfort (10 %). We found VNS as a safe and effective therapy for drug-resistant epilepsy, with an approximate long-term decrease in mean seizure frequency of 57.8–67 %. Thus, VNS is recommended for suitable patients in developing countries. © 2016, Springer-Verlag Italia.
Publication Date: 2016
Journal of Fixed Point Theory and Applications (16617738) 18(3)pp. 601-607
In this paper, we first show that a Banach space X has weak normal structure if and only if X has the weak fixed point property for nonexpansive mappings with respect to (wrt) orbits. Then, we give a counterexample to show that the Goebel–Karlovitz lemma does not hold for minimal invariant sets of nonexpansive mappings wrt orbits, and we present a modified version of the Goebel–Karlovitz lemma. © 2016, Springer International Publishing.
Publication Date: 2015
Journal of Nonlinear and Convex Analysis (13454773) 16(2)pp. 265-271
In this paper, we will introduce first the notions of measure of non-singletonsness (denoted by δ), δ-Cauchy sequence and δ-completeness inthe setting of generalized £-spaces. Main result of the paper is a new endpoint theorem in generalized £-spaces from which we will derive an order-theoretic Cantor theorem in such spaces. Some examples are also given to support our main result. Our results generalize some recent results in the literature. © 2015.
Publication Date: 2015
Communications in Applied Analysis (discontinued) (10832564) 19pp. 209-216
In this paper, we present a new and simple approach to coupled fixed point theory of multi-valued maps. By using our method, we first give a very simple proof of the recent coupled fixed point theorems established by Samet and Vetro [B. Samet, C. Vetro, Coupled fixed point theorems for multi-valued nonlinear contraction mappings in partially ordered metric spaces, Nonlinear Analysis 74(2011), 4260-4268.] Then, we use our technique to present a new tripled fixed point theorem in a general setting. © Dynamic Publishers, Inc.
Publication Date: 2015
Iranian Journal Of Fuzzy Systems (17350654) 12(4)pp. 147-153
We consider the concept of fuzzy quasi-contractions initiated by Ćirić in the setting of fuzzy metric spaces and establish fixed point theorems for quasi-contractive mappings and for fuzzy H-contractive mappings on M-complete fuzzy metric spaces in the sense of George and Veeramani. The results are illustrated by a representative example. © 2015, University of Sistan and Baluchestan. All rights reserved.
Publication Date: 2014
Fixed Point Theory (15835022) 15(1)pp. 87-98
In this paper, by making use of a new class of operators, we establish some existence results of the solution for an extended general variational inequality already considered in the literature. As application, we obtain a new coincidence point theorem in a Hilbert space setting.
Publication Date: 2014
Journal Of Applied Mathematics (16870042) 2014
We first introduce a new class of contractive mappings in the setting of metric spaces and then we present certain Greguš type fixed point theorems for such mappings. As an application, we derive certain Greguš type common fixed theorems. Our results extend Greguš fixed point theorem in metric spaces and generalize and unify some related results in the literature. An example is also given to support our main result. © 2014 Marwan A. Kutbi et al.
Publication Date: 2014
Publicationes Mathematicae Debrecen (00333883) 85(1-2)pp. 47-58
In this paper we obtain some existence results of solution for general variational inequalities. As applications several coincidence and fixed point results are provided.
Publication Date: 2014
Optimization Letters (18624472) 8(2)pp. 581-589
In this paper, we first give an existence and uniqueness common best proximity point theorem for a pair of non-self mappings, one of which weakly dominates the other proximally. Moreover, an algorithm is exhibited to determine such unique common best proximity point. An example is also given to support our main result. Our main result extends and unifies some well-known results in the literature. © 2012 Springer-Verlag Berlin Heidelberg.
Publication Date: 2014
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas (15791505) 108(2)pp. 721-732
In this paper, we first introduce a distance space and then give a new fixed point theorem for multi-valued contractions in such spaces. Even in the case of metric spaces, our main theorem unifies and generalizes some recent results in the literature. Some examples are given to show that the fixed point result given here is a genuine generalization. © 2013 Springer-Verlag Italia.
Publication Date: 2014
Miskolc Mathematical Notes (17872405) 15(2)pp. 279-285
In this paper, we first introduce the class of generalized nonexpansive mappings in Banach spaces. This class contains both the classes of nonexpansive and α-nonexpansive mappings. In addition, we obtain some fixed point and coincidence point theorems for generalized nonexpansive mappings in uniformly convex Banach spaces. Our results extend some wellknown results in literature. © 2014 Miskolc University Press.
Publication Date: 2014
Fixed Point Theory (15835022) 15(2)pp. 351-358
In this paper, we first give a new fixed point theorem for quasi-contraction maps in b-metric spaces which gives a partial answer to a question raised in [S. L. Singh, S. Czerwik, K. Król, A. Singh, Coincidences and fixed points of hybrid contractions, Tamsui Oxf. J. Math. Sci., 24 (2008), 401-416]. Then we derive some fixed point results for contractive type maps. An example is also given to support our main result. Our results extend and improve some fixed point theorems in the literature. © 2014, All Rights reserved.
Publication Date: 2014
Iranian Journal Of Fuzzy Systems (17350654) 11(2)pp. 113-120
In this paper, we introduce a new concept of fuzzy generalized contraction and give a fixed point result for such mappings in the setting of fuzzy M-complete metric spaces. We also give an affirmative partial answer to a question posed by Wardowski [D. Wardowski, Fuzzy contractive mappings and fixed points in fuzzy metric spaces, Fuzzy Set Syst., 222(2013), 108-114]. Some examples are also given to support our main result. © 2014 University of Sistan and Baluchestan. All rights reserved.
Publication Date: 2014
Filomat (03545180) 28(6)pp. 1247-1252
Existence theorem for fixed point of mappings satisfying a new generalized contractive condition, involving some well-known contractive conditions of rational type, in ordered metric spaces is proved. Some examples are given which illustrate the value of the obtained results in comparison to some of the existing ones in literature. © 2014, University of Nis. All rights reserved.
Publication Date: 2014
Journal of Nonlinear and Convex Analysis (13454773) 15(4)pp. 727-731
In this paper, we first introduce p-quasi-contraction maps in metric spaces for each p ∈ ℕ and then we give a fixed point result for such maps. An example is given to support our result.
Publication Date: 2014
Carpathian Journal of Mathematics (15842851) 30(1)pp. 15-16
In this paper, by using a simple technique, we obtain several existence results of the solutions for general variational inequalities of Stampacchia type. We also show, that the existence of a coincidence point of two mappings is equivalent to the existence of the solution of a particular general variational inequality of Stampacchia type. As applications several coincidence and fixed point results are obtained.
Publication Date: 2013
Miskolc Mathematical Notes (17872405) 14(1)pp. 11-17
In this paper, we present a fixed point theorem for a new type of contractive mappings. Our main result extends and unifies some well-known results in the literature. © Miskolc University Press.
Publication Date: 2013
Fixed Point Theory and Algorithms for Sciences and Engineering (16871812) 2013
In this paper, we first introduce a cyclic generalized contraction map in metric spaces and give an existence result for a best proximity point of such mappings in the setting of a uniformly convex Banach space. Then we give an existence and uniqueness best proximity point theorem for non-self proximal generalized contractions. Moreover, an algorithm is exhibited to determine such a unique best proximity point. Some examples are also given to support our main results. Our results extend and improve certain recent results in the literature. © 2013 Amini-Harandi et al.; licensee Springer.
Publication Date: 2013
Journal of Global Optimization (09255001) 56(4)pp. 1667-1674
In this paper, we introduce a new class of maps, called cyclic strongly quasi-contractions, which contains the cyclic contractions as a subclass. Then we give some convergence and existence results of best proximity point theorems for cyclic strongly quasi-contraction maps. An example is given to support our main results. © 2012 Springer Science+Business Media, LLC.
Publication Date: 2013
Optimization Letters (18624472) 7(5)pp. 913-921
In this paper, we give best proximity point theorem for non-self proximal generalized contractions. Moreover, an algorithm is exhibited to determine such an optimal approximate solution designed as a best proximity point. An example is also given to support our main results. © 2012 Springer-Verlag.
Publication Date: 2013
Fixed Point Theory and Algorithms for Sciences and Engineering (16871812) 2013
Certain common fixed point results involving four mappings satisfying generalized contractive conditions on a cone metric type space are obtained. Our results substantially improve and extend a number of known results. An example is given in support of the new results developed here. As an application, we establish the existence of a solution for an implicit integral equation. © 2013 Hussain et al.; licensee Springer.
Publication Date: 2013
Mathematical and Computer Modelling (08957177) 57(9-10)pp. 2343-2348
In this paper, we introduce a new, simple and unified approach to coupled and tripled fixed point theory. By using our method, we first give a new coupled fixed point theorem. Then, we use our technique to present a new tripled fixed point result. As an application, we discuss the existence and uniqueness for solution of an initial value problem. Our results extend and improves some recent results in literature. © 2011 Elsevier Ltd.
Publication Date: 2013
Bulletin Of The Iranian Mathematical Society (1017060X) 39(1)pp. 165-173
Here, using the fixed point theory in cone metric spaces, we prove the existence of a unique solution to a first-order ordinary differential equation with periodic boundary conditions in Banach spaces admitting the existence of a lower solution. © 2013 Iranian Mathematical Society.
Publication Date: 2013
Rendiconti del Circolo Matematico di Palermo (0009725X) 62(3)pp. 367-377
In this paper, we obtain some fixed point theorems for new set-valued contractions in complete metric spaces. Then by using these results and the scalarization method, we present some fixed point theorems for set-valued contractions in complete cone metric spaces without the normality assumption. We also present some examples to support our results. © 2013 Springer-Verlag Italia.
Publication Date: 2013
Fixed Point Theory and Algorithms for Sciences and Engineering (16871812) 2013
In this paper, we first give a new fixed point theorem for generalized Ćirić quasi-contraction maps in generalized metric spaces. Then we derive a common fixed point result for quasi-contractive type maps. Some examples are given to support our results. Our results extend and improve some fixed point and common fixed point theorems in the literature. MSC: 47H10. © 2013 Kiany and Amini-Harandi; licensee Springer.
Publication Date: 2013
Fixed Point Theory and Algorithms for Sciences and Engineering (16871812) 2013
In this paper, we first introduce two new classes of (ω,δ)- contractions of the first and second kinds and establish some related new fixed point and best proximity point theorems in preordered metric spaces. Our theorems subsume the corresponding recent results of Samet (J. Optim. Theory Appl. (2013), doi:10.1007/s10957-013-0269-9) and extend and generalize many of the well-known results in the literature. An example is also provided to support our main results. ©2013 Amini-Harandi et al.; licensee Springer.
Publication Date: 2012
Fixed Point Theory and Algorithms for Sciences and Engineering (16871812) 2012
In this paper, we prove a coupled fixed point theorem for a multivalued fuzzy contraction mapping in complete Hausdorff fuzzy metric spaces. As an application of the first theorem, a coupled coincidence and coupled common fixed point theorem has been proved for a hybrid pair of multivalued and single-valued mappings. It is worth mentioning that to find coupled coincidence points, we do not employ the condition of continuity of any mapping involved therein. Also, coupled coincidence points are obtained without exploiting any type of commutativity condition. Our results extend, improve, and unify some well-known results in the literature. © 2012 Abbas et al.; licensee Springer.
Nafissi, S. ,
Azimi, A. ,
Amini harandi, A. ,
Salami, S. ,
Shahkarami, M.A. ,
Heshmat, R. Publication Date: 2012
Clinical Neurology and Neurosurgery (18726968) 114(7)pp. 986-989
Objective: We compared the efficacy and safety of two biosimilar forms of interferon beta-1a in the treatment of multiple sclerosis: Avonex (Biogen Idec, USA) and CinnoVex (CinnaGen, Iran). Methods: In a double blind randomized clinical trial study 84 patients with relapsing remitting multiple sclerosis (RRMS) with Expanded Disability Status Scale (EDSS) score of 0-5.5 were randomly allocated to two groups of 42 subjects. Results: Twenty-four patients lost to follow-up. Finally, 31 patients (mean ± SD of age = 33.7 ± 7.0; 7 males and 24 females) in the Avonex and 29 patients (mean ± SD of age = 32.2 ± 9.2; 8 males and 21 females) in the CinnoVex group completed full 24 months of study period. Decrease in EDSS was 1.05 ± 0.24, p = 0.62 in the Avonex and 0.16 ± 0.88, p = 1.0 in the CinnoVex group after 12 months and 0.27 ± 1.05, p = 0.46 in the Avonex and 0.16 ± 1.06, p = 1.0 in the CinnoVex group after 24 months. There was no statistically significant difference in attack number between two groups (1.0 ± 1.2 in Avonex and 1.2 ± 1.3 in CinnoVex; p = 0.46). Volume of T2-weighted lesions on MRI showed a progressive significant increase in the 12th month (28056 ± 23693) in Avonex treated patients compared with first image (16353 ± 11172) (p = 0.01). But number of gadolinium-enhancing lesions in CinnoVex showed statistically significant decrease after 12 months (0.08 ± 0.28 vs. 1.00 ± 1.22; p = 0.03). However, there were no significant differences between groups after 24 months. There were no significant differences between 2 groups regarding frequency and duration of most considerable side effects, as well. Neutralizing antibodies were not positive in any patients. Conclusion: CinnoVex can be used as a safe and effective alternative to Avonex in treatment of RRMS. © 2012 Elsevier B.V.
Publication Date: 2012
Taiwanese Journal of Mathematics (10275487) 16(2)pp. 777-785
In this paper, we establish equilibrium version of Ekeland's variational principle without assuming any kind of semicontinuity of the bifunction involved in the formulation of the principle. By using such principle, we derive some existence results for a solution of equilibrium problems with or without compactness assumption on the underlying set. A coercivity condition is introduced to obtain a solution of an equilibrium problem for noncompact case. Our results extend and improve several known results in the literature.
Publication Date: 2012
Fixed Point Theory and Algorithms for Sciences and Engineering (16871812) 2012
In this paper, motivated by the recent work of Wardowski (Fixed Point Theory Appl. 2012:94, 2012), we introduce a new concept of set-valued contraction and prove a fixed point theorem which generalizes some well-known results in the literature. As an application, we derive a new coupled fixed point theorem. Some examples are also given to support our main results. © 2012 Amini-Harandi; licensee Springer.
Publication Date: 2012
Communications in Nonlinear Science and Numerical Simulation (10075704) 17(2)pp. 708-712
In this paper, we prove some fixed point theorems for generalized contractions in cone metric spaces. Our theorems extend some results of Suzuki (2008) [T. Suzuki, A generalized Banach contraction principle that characterizes metric completeness, Proc Amer Math Soc 136(5) (2008), 1861-1869] and Kikkawa and Suzuki (2008) [M. Kikkawa and T. Suzuki, Three fixed point theorems for generalized contractions with constants in complete metric spaces, Nonlinear Anal 69(9) (2008), 2942-2949]. © 2011 Elsevier B.V.
Publication Date: 2012
Fixed Point Theory and Algorithms for Sciences and Engineering (16871812) 2012
By a metric-like space, as a generalization of a partial metric space, we mean a pair (X,σ), where X is a nonempty set and σ : X x X → ℝ satisfies all of the conditions of a metric except that σ (x,x) may be positive for x ∈ X. In this paper, we initiate the fixed point theory in metric-like spaces. As an application, we derive some new fixed point results in partial metric spaces. Our results unify and generalize some well-known results in the literature. © 2012 Amini-Harandi; licensee Springer.
Publication Date: 2011
Nonlinear Analysis, Theory, Methods and Applications (0362546X) 74(3)pp. 922-926
In this paper, we first give a best approximation theorem in abstract convex metric spaces. As applications, we then derive some best and coupled best approximations and coupled coincidence point results in normed spaces and hyperconvex metric spaces. © 2010 Elsevier Ltd. All rights reserved.
Publication Date: 2011
Bulletin Of The Iranian Mathematical Society (1017060X) 37(4)pp. 229-234
This paper is concerned with the best proximity pair problem in Hilbert spaces. Given two subsets A and B of a Hilbert space H and the set-valued maps F: A → 2 B and G: A 0 → 2 A0, where A 0 = {x ∈ A: {norm of matrix}x - y{norm of matrix} = d(A,B) for some y ∈ B}, best proximity pair theorems provide sufficient conditions that ensure the existence of an x 0 ∈ A such that d(G(x 0), F(x 0)) = d(A,B). © 2011 Iranian Mathematical Society.
Publication Date: 2011
Journal of Military Medicine (17357667) 13(1)pp. 37-42
Aims: The Iraqi government performed numerous chemical attacks against north-west of Iran and Iraq non-military civilians during 1980-88. The aim of this survey was to investigate the long term respiratory complications among chemical injury victims of Iraqi Kurdistan region. Methods: This cross-sectional descriptive study was performed in year 2008 on Iraqi Kurdish chemical injury victims who were invited by public invitation and 479 eligible patients entered the study by census sampling method. Then, physical examination, spirometry and thoracic high-resolution computed tomography were carried out on patients. Blistering after chemical weapon exposure was used to identify the significant exposure to sulfur mustard and patients were divided into two groups of having blisters and without blisters. Results of the two groups were compared by SPSS 16 software using Kolmogorov-Smirnov test, independent T-test, Fisher's exact test, Chi square test and multivariate regression. Results: Among 479 participants, 45.7% were male and 54.3% were female. The mean age was 43.1±13.7. Spirometry was abnormal in 15.2% of patients and air trapping was present on CT scan in 46.6% cases and there was no significant difference between patients with blisters (n=278) and without a history of blistering. However, Blistering after chemical weapon exposure associated with more respiratory symptoms and worse lung function especially among Halabja inhabitants. Conclusion: Iraqi Kurdish chemical injury victims suffer from severe respiratory complications which may reflect the absence of essential preventive training for reduction of contact with chemicals and early treatment after incidents.
Publication Date: 2011
Fixed Point Theory and Algorithms for Sciences and Engineering (16871812) 2011
In this paper, we first present a fixed point theorem for set-valued fuzzy contraction type maps in complete fuzzy metric spaces which extends and improves some well-know results in literature. Then by presenting an endpoint result we initiate endpoint theory for fuzzy contraction maps in fuzzy metric spaces. © 2011 Kiany and Amini-Harandi; licensee Springer.
Publication Date: 2011
Computers and Mathematics with Applications (08981221) 61(7)pp. 1891-1897
In this paper, we introduce vector modular spaces and prove the existence of fixed points for generalized quasicontraction maps and discuss their uniqueness in these spaces. Our fixed point theorem, even in the case of modular spaces, extends the main result of Khamsi [M.A. Khamsi, Quasicontraction mappings in modular spaces without Δ2-condition, Fixed Point Theory and Applications 2008, 6 pages, ID 916187]. © 2011 Elsevier Ltd. All rights reserved.
Publication Date: 2011
Applied Mathematics Letters (18735452) 24(11)pp. 1791-1794
In this paper, we give a fixed point theorem for set-valued quasi-contraction maps in metric spaces. Our main result improves some well-known results from the literature. © 2011 Elsevier Ltd. All rights reserved.
Publication Date: 2011
Indian Journal of Pure and Applied Mathematics (00195588) 42(2)pp. 127-140
In this paper, we introduce and study the generalized implicit vector variational inequality problems with set valued mappings in topological vector spaces. We establish existence theorems for the solution set of these problems be nonempty compact and convex. Our results extend the results by Fang and Huang [ Existence results for generalized implicit vector variational inequalities with multivalued mappings, Indian J. Pure and Appl. Math. 36(2005), 629-640.] © 2011 The Indian National Science Academy.
Publication Date: 2011
Georgian Mathematical Journal (1072947X) 18(4)pp. 597-614
Recently, Huang, Li and O'Regan introduced a class of (scalar) generalized f-complementarity problems and three classes of variational inequalities in real Banach spaces for a fixed cone. Our aim is to introduce a vector case of their problems in the real topological vector spaces setting for a moving cone and to generalize their results even in the scalar case. © de Gruyter 2011.
Publication Date: 2010
Nonlinear Analysis, Theory, Methods and Applications (0362546X) 72(5)pp. 2238-2242
We present a fixed point theorem for generalized contraction in partially ordered complete metric spaces. As an application, we give an existence and uniqueness for the solution of a periodic boundary value problem. © 2009 Elsevier Ltd. All rights reserved.
Publication Date: 2010
Bulletin Of The Iranian Mathematical Society (1017060X) 36(1)pp. 69-82
We introduce some new concepts of locally Lipschitz mappings, Clarke subdifferential, approximate convexity and submonotonocity in locally convex spaces. We show that, if f is approximately convex and bounded above, then f is locally Lipschitz. We also prove that a Lipschitz function is approximately convex if and only if its Clarke subdifferential is a submonotone operator. Several properties of approximate convexity are discussed. Our results can be viewed as extensions and refinements of the previously known results from Banach spaces to locally convex spaces. © 2010 Iranian Mathematical Society.
Publication Date: 2010
Fixed Point Theory and Algorithms for Sciences and Engineering (16871812) 2010
The existence of approximate fixed points and approximate endpoints of the multivalued almost I-contractions is established. We also develop quantitative estimates of the sets of approximate fixed points and approximate endpoints for multivalued almost I-contractions. The proved results unify and improve recent results of Amini-Harandi (2010), M. Berinde and V. Berinde (2007), iri (2009), M. Pcurar and R. V. Pcurar (2007) and many others. Copyright © 2010 N. Hussain et al.
Publication Date: 2010
Nonlinear Analysis, Theory, Methods and Applications (0362546X) 72(1)pp. 132-134
Suppose (X, d) be a complete metric space, and suppose F : X → C B (X) be a set-valued map satisfies H (F x, F y) ≤ ψ (d (x, y)), for each x, y ∈ X, where ψ : [0, ∞) → [0, ∞) is upper semicontinuous, ψ (t) < t for each t > 0 and satisfies lim inft → ∞ (t - ψ (t)) > 0. Then F has a unique endpoint if and only if F has the approximate endpoint property. © 2009.
Publication Date: 2010
Journal of Optimization Theory and Applications (00223239) 146(1)pp. 95-104
This paper deals with some existence theorems for generalized vector variational-like inequalities with set-valued mappings in topological vector spaces. The results presented in this paper generalize and improve some previously known results in the literature. © 2010 Springer Science+Business Media, LLC.
Publication Date: 2010
Nonlinear Analysis, Theory, Methods and Applications (0362546X) 72(6)pp. 2891-2895
A new generalized set-valued contraction on topological spaces with respect to a measure of noncompactness is introduced. Two fixed point theorems for the K K M type maps which are either generalized set-contraction or condensing ones are given. Furthermore, applications of these results for existence of coincidence points and maximal elements are deduced. © 2009.
Publication Date: 2010
Fixed Point Theory and Algorithms for Sciences and Engineering (16871812) 2010
We first give some fixed point results for set-valued self-map contractions in complete metric spaces. Then we derive a fixed point theorem for nonself set-valued contractions which are metrically inward. Our results generalize many well-known results in the literature. Copyright © 2010 A. Amini-Harandi and D. O'Regan.
Publication Date: 2010
Computers and Mathematics with Applications (08981221) 59(11)pp. 3529-3534
Motivated by the scalarization method in vector optimization theory, we take a new approach to fixed point theory on cone metric spaces. By using our method we prove some fixed point theorems and several common fixed point theorems on cone metric spaces in which the cone need not be normal. Our results improve and generalize many well-known results from the literature. © 2010 Elsevier Ltd. All rights reserved.
Publication Date: 2010
Nonlinear Analysis, Theory, Methods and Applications (0362546X) 72(12)pp. 4661-4665
In this paper, we first prove some generalizations of Caristi's fixed point theorem. Then we give some applications to the fixed point theory of weakly contractive set-valued maps and the minimization problem. © 2010 Elsevier Ltd. All rights reserved.
Publication Date: 2009
Nonlinear Analysis, Theory, Methods and Applications (0362546X) 70(6)pp. 2453-2456
In this paper, we present a best approximation theorem for set-valued mappings in hyperconvex metric spaces, which generalize the well-known result of Kirk, Sims and Yuan [W.A. Kirk, B. Sims, X.Z. Yuan, The Knaster-Kuratowski and Mazurkiewicz theory in hyperconvex metric spaces and some of its applications, Nonlinear Anal. 39 (2000) 611-627]. © 2008 Elsevier Ltd. All rights reserved.
Publication Date: 2009
Nonlinear Analysis, Theory, Methods and Applications (0362546X) 71(11)pp. 5151-5156
Suppose X is a compact admissible subset of a hyperconvex metric spaces M, and suppose F : X {multimap} M is a quasi-lower semicontinuous set-valued map whose values are nonempty admissible. Suppose also G : X {multimap} X is a continuous, onto quasi-convex set-valued map with compact, admissible values. Then there exists an x0 ∈ X such that d (G (x0), F (x0)) = under(inf, x ∈ X) d (x, F (x0)) . As applications, we give some coincidence and fixed point results for weakly inward set-valued maps. Our results, generalize some well-known results in literature. © 2009 Elsevier Ltd. All rights reserved.
Publication Date: 2009
Nonlinear Analysis, Theory, Methods and Applications (0362546X) 71(5-6)pp. 1649-1653
Suppose X is a closed, convex and geodesically bounded subset of a complete R-tree M, and suppose F : X {multimap} M is an almost lower semicontinuous set-valued map whose values are nonempty closed convex. Suppose also G : X {multimap} X is a continuous, onto quasiconvex set-valued map with compact, convex values. Then there exists x0 ∈ X such that d (G (x0), F (x0)) = under(inf, x ∈ X) d (x, F (x0)) . As applications, we give some coincidence and fixed point results for weakly inward set-valued maps. Our results generalize some well-known results in literature. © 2009.
Publication Date: 2009
Applied Mathematics Letters (18735452) 22(7)pp. 1126-1129
In this work, we consider a generalized nonlinear variational-like inequality problem, in topological vector spaces, and, by using the KKM technique, we prove an existence theorem. Our result extends a theorem of Ahmad and Irfan [R. Ahmad, S.S. Irfan, On the generalized nonlinear variational-like inequality problems, Appl. Math. Lett. 19 (2006) 294-297]. © 2009 Elsevier Ltd. All rights reserved.
Publication Date: 2008
Fixed Point Theory and Algorithms for Sciences and Engineering (16871812) 2008
A best proximity pair for a set-valued map F : A → B with respect to a map g : A → A is defined, and new existence theorems of best proximity pairs for upper semicontinuous set-valued maps with respect to a homeomorphism are proved in hyperconvex metric spaces.
Publication Date: 2008
Fixed Point Theory and Algorithms for Sciences and Engineering (16871812) 2008
A best proximity pair for a set-valued map F : A -○ B with respect to a set-valued map G : A -○ A is defined, and a new existence theorem of best proximity pairs for continuous set-valued maps is proved in nonexpansive retract metric spaces. As an application, we derive a coincidence point theorem. Copyright © 2008 A. Amini-Harandi et al.
Publication Date: 2008
Fixed Point Theory and Algorithms for Sciences and Engineering (16871812) 2008
In hyperconvex metric spaces, we first present a coincidence point theorem for condensing set-valued self-maps. Then we consider the best approximation problem and the best proximity problem for set-valued mappings that are condensing. As an application, we derive a coincidence point theorem for nonself-condensing set-valued maps.
Publication Date: 2008
Abstract And Applied Analysis (10853375) 2008
We first define upper sign continuity for a set-valued mapping and then we consider two types of generalized vector equilibrium problems in topological vector spaces and provide sufficient conditions under which the solution sets are nonempty and compact. Finally, we give an application of our main results. The paper generalizes and improves results obtained by Fang and Huang in (2005).
Publication Date: 2008
Communications on Applied Nonlinear Analysis (1074133X) 15(2)pp. 39-46
In this paper, we first present fixed point theory for continuous condensing set valued nonself maps in hyperconvex metric spaces. Then we establish a fixed point theorem for upper semicontinuous condensing set valued self maps. As an application, we obtain a coincidence point result.
Publication Date: 2008
Journal of Mathematical Analysis and Applications (10960813) 344(2)pp. 999-1004
In this paper, generalized vector equilibrium problems are studied and some existence theorems of solutions for these problems in the setting of topological vector spaces are proved. Sufficient conditions for the set of solutions to be compact and convex are given. Our results improve some recent results in this field. © 2008 Elsevier Inc. All rights reserved.
Emami naini, A. ,
Amini harandi, A. ,
Ossareh s., ,
Ghods a., ,
Bastani b., ,
Taheri s., Publication Date: 2006
Journal Of Research In Medical Sciences (17357136) 11(2)pp. 87-92
Background: Renal diseases information is population-based and has great geographic variability. Due to the lack of national renal data registry system, there is no information on the prevalence rate, and clinical and laboratory features of various glomerulonephritidies (GNs) in Iran. Methods: In a retrospective cross sectional study, we analyzed 462 adult renal biopsies in Hashemi Nejad hospital, Tehran, Iran. We determined the prevalence rate and the frequency of different clinical and laboratory findings in patients with different GNs. We also compared our results with the reports from other countries. Results: There were 267(57.8%) males and 195(42.2%) females. The mean age (± SD) was 33.6 ± 15.7 (range, 13-75) years old. After exclusion of 55 biopsies with pathologies other than GNs and in the remaining 407 biopsies, membranous glomerulopathy (MGN) was the most common GN (23.6%), followed by IgAN (13.5%), membranoproliferative GN (11.5%), systemic lupus nephritis (10.6%), focal segmental glomerulosclerosis (10.3%), and minimal change disease (9.8%). These 6 GNs comprised the majority (79.4%) of all GNs. Conclusion: MGN is the most common form of GN, followed by IgAN, MPGN, SLE-GN, FSGS and MCD in adult patients in our study. The multi-center studies with a larger sample size are needed for more comprehensive data in Iranian population.
Publication Date: 2004
Acta Mathematica Hungarica (15882632) 105(1-2)pp. 139-143
We define an alternate convexically nonexpansive map T on a bounded, closed, convex subset C of a Banach space X and prove that if X is a strictly convex Banach space and C is a nonempty weakly compact convex subset of X, then every alternate convexically nonexpansive map T: C → C has a fixed point. As its application, we give an existence result for the solution of an integral equation.
Publication Date: 2004
Contemporary Hypnosis (09605290) 21(1)pp. 28-34
Due to severe pain and anxiety in burn patients, especially in procedures such as physiotherapy, and because of the adverse effects of pain on the outcome of physiotherapy, application of adjunctive methods are necessary for achieving pain relief. Right now, no certain method of pain reduction is available. This study evaluated the efficacy of hypnotherapy in reducing pain and anxiety in burn patients through a randomized clinical trial. From amongst women hospitalized in a burn unit, 44 patients were selected and divided into intervention and control groups. The intervention group underwent four hypnotherapy sessions and the control group remained without any hypnotherapy intervention. Procedural pain and anxiety related to physiotherapy were evaluated with Visual Analogue Scale (VAS) contemporaneously in both groups. The degree of pain and anxiety caused by physiotherapy decreased significantly in the intervention group, as compared to the control group (P < 0.001). Hypnosis is recommended as a complementary method in burns physiotherapy.
Publication Date: 2003
Annals of Tropical Medicine and Parasitology (00034983) 97(5)pp. 493-498
It would be very useful to have a more effective and more rapid method available for the treatment of cutaneous leishmaniasis (CL). The main aim of the present, Iranian study, was to see if the combination of cryotherapy and intralesional injections with meglumine antimoniate (C + MA) would be more effective than the injections given alone (MA) or the combination of cryotherapy plus intralesional sodium stibogluconate (C + SS). Forty patients (with 67 lesions) were treated with C + MA, another 40 (with 65 lesions) were treated with C + SS and 100 patients (with 180 lesions) were treated with MA. Follow-up for 6 months after the final treatment indicated that 89.5% of the lesions treated with C + MA, 92.3% of those treated with C + SS but only 50% of the lesions treated with MA only were completely cured. The frequencies of cure in the two cryotherapy groups were similar, both being significantly higher than that in the MA group (P < 0.05). The combination of cryotherapy with intralesional injections of meglumine antimoniate or sodium stibogluconate, which is much more effective than the use of intralesional meglumine antimoniate alone, should be promoted.
University of Isfahan
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