KKM Type Theorems and Coincidence Theorems in Topological Spaces  

作　　者：ZHENG Lian DING Xie Ping 

机构地区：[1]Department of Mathematics, Yangtze Normal University, Chongqing 408100, China [2]Department of Mathematics, Sichuan Normal University, Sichuan 610066, China

出　　处：《Journal of Mathematical Research and Exposition》2008年第2期403-412,共10页数学研究与评论（英文版）

基　　金：Foundation item： the Natural Science Foundation of Sichuan Provincial Education Department of China （No. 2003A081; SZD0406）.

摘　　要：A class of finitely continuous topological spaces(in short,FC-spaces)is introduced. Some new KKM type theorems and coincidence theorems involving admissible set-valued map- pings and the set-valued mapping with compactly local intersection property are proved in FC- spaces.As applications,some new fixed point theorems are obtained in FC-spaces.These theorems improve and generalize many known results in recent literature.A class of finitely continuous topological spaces （in short, FC-spaces） is introduced. Some new KKM type theorems and coincidence theorems involving admissible set-valued mappings and the set-valued mapping with compactly local intersection property are proved in FCspaces. As applications, some new fixed point theorems are obtained in FC-spaces. These theorems improve and generalize many known results in recent literature.

关 键 词：FC-SPACE KKM type theorem coincidence theorem admissible set-valued map compactly local intersection property 

分 类 号：O177.92[理学—数学]