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.
基金
Foundation item： the Natural Science Foundation of Sichuan Provincial Education Department of China （No. 2003A081
SZD0406）.
关键词
拓扑空间
数学理论
计算方法
有限性
FC-space
KKM type theorem
coincidence theorem
admissible set-valued map
compactly local intersection property
