Coincidence Theorems with Applications to Minimax Inequalities,Section Theorem,Best Approximation and Multiobjective Games in Topological Spaces

作     者：Lei DENG Ming Ge YANG 

作者机构：Department of Mathematics Southwest University Chongqing 400715 P. R. China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2006年第22卷第6期

页      面：1809-1818页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Supported by National Natural Science Foundation of China(10471113) Natural Science Foundation Project of CQ CSTC(2005BB2097) 

主　　题：admissible set-valued mapping generalized R-KKM mapping transfer compactly openvalued compactly local intersection property multiobjective game 

摘      要：Some new coincidence theorems involving admissible set-valued mappings are proved in general noncompact topological spaces. As applications, some new minimax inequalities, section theorem, best approximation theorem, existence theorems of weighted Nash equilibria and Pareto equilibria for multiobjective games are given in general topological spaces.