Type:
Some generalizations of Caristi's fixed point theorem with applications to the fixed point theory of weakly contractive set-valued maps and the minimization problem
Journal: Nonlinear Analysis, Theory, Methods and Applications (0362546X)Year: 15 June 2010Volume: 72Issue: Pages: 4661 - 4665
DOI:10.1016/j.na.2010.02.045Language: English
Abstract
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.
Author Keywords
Caristi's fixed point theoremMinimal elementPartially ordered setTakahashi minimization theoremWeakly contractive set-valued map
Other Keywords
OptimizationFixed point theoremsFixed point theoryMinimization problemsPartially ordered setSet-valued mapSet theory