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

作　　者：Lei DENG Ming Ge YANG 

机构地区：[1]Department of Mathematics, Southwest University, Chongqing 400715, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2006年第6期1809-1818,共10页数学学报（英文版）

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

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.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.

关 键 词：admissible set-valued mapping generalized R-KKM mapping transfer compactly openvalued compactly local intersection property multiobjective game 

分 类 号：O17[理学—数学]