摘要
引入广义L-KKM映射的概念,它包含R-KKM映射,G-KKM映射,H-KKM映射为其特例.在具有(H)性质的拓扑空间中证明了一些新的广义L-KKM型定理,并进一步获得了关于开覆盖的匹配定理.作为广义L-KKM型定理应用,证明了非空交定理.
The concept of generalized L-KKM mapping is introduced. Generalized L-KKM mapping includes R-KKM mapping, G-KKM mapping, H-KKM mapping as special cases. Some new generalized L-KKM type theorems are proves in a topological space with property （H）, furthermore, matching theorems with open cover are obtained. As application of generalized L-KKM type theorems, a nonempty intersection theorem is proved.
出处
《数学的实践与认识》
CSCD
北大核心
2008年第7期188-192,共5页
Mathematics in Practice and Theory
基金
西南交通大学青年教师科研起步项目资助(2007Q087)
关键词
广义L—KKM映射
下半连续映射
匹配定理
非空交定理
generalized L-KKM mapping
lower semicontinuous mapping
matching theorem
nonempty intersection theorem
