Type: Review
Fixed points theorems and quasi-variational inequalities in G-convex spaces
Journal: Bulletin of the Belgian Mathematical Society - Simon Stevin (13701444)Year: 2005Volume: Issue: 2Pages: 235 - 247
Fakhar M.a Zafarani J.
All Open Access; Green Open Access; Hybrid Gold Open AccessDOI:10.36045/bbms/1117805086Language: English
Abstract
We obtain a generalized continuous selection theorem and a coincidence theorem for generalized convex spaces. Some new Himmelberg type theorems and Eilenberg-Montgomery and Gorniéwicz type fixed point theorems for mappings with KKM property are established in noncompact LG-spaces. Moreover, applications to these fixed point theorems for existence of equilibria are given.
Author Keywords
Coincidence theoremContinuous selectionFixed point theoremGeneralized quasi-variational inequalities