New Generalized R-KKM Type Theorems in General Topological Spaces and Applications
New Generalized R-KKM Type Theorems in General Topological Spaces and Applications作者机构:College of Mathematics and Software Science Sichuan Normal University Chengdu 610066 P. R. China
出 版 物:《Acta Mathematica Sinica,English Series》 (数学学报(英文版))
年 卷 期:2007年第23卷第10期
页 面:1869-1880页
核心收录:
学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学]
基 金:This project is supported by Natural Science Foundation of Sichuan Education Department of China(2003A081) SZD0406
主 题:generalized R-KKM mapping finitely closed-valued (open-valued) generalized R-KKM type theorem minimax inequality saddle point equilibrium problem
摘 要:In this paper, some new generalized R-KKM type theorems for generalized R-KKM mappings with finitely closed values and with finitely open values are established in noncompact topological spaces without any convexity structure under much weaker assumptions. As applications, some new minimax inequalities, saddle point theorem and equilibrium existence theorem for equilibrium problems with lower and upper bounds are established in general noncompact topological spaces. These theorems unify and generalize many known results in the literature.