摘要
引入了一类新的无任何凸性假设的局部有限连续拓扑空间 (简称局部FC 空间 ) .首先在非紧FC 空间内对KKM型映射证明了一个KKM型定理 .利用此KKM型定理在局部FC
In this paper, a new class of locally finitely continuous topological spaces (in short, locally FC-spaces) without any convexity assumption is introduced. A KKM type theorem for KKM type mapping in noncompact FC-spaces is first proved. By using the KKM type theorem, a Himmelberg type fixed point theorem for upper continuous compact set-valued mappings is established in locally FC-spaces.
出处
《四川师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2005年第2期127-130,共4页
Journal of Sichuan Normal University（Natural Science）
基金
四川省教育厅重点科研基金资助项目
关键词
局部FC-空间
KKM型定理
上半连续紧值映射
不动点
Locally FC-space
KKM type theorem
Upper semicontinuous compact-valued mapping
Fixed point
