广义L-KKM定理及其应用  

Generalized L-KKM Theorems and Their Applications

作　　者：张红玲[1] 陈滋利[1] 

机构地区：[1]西南交通大学数学系

出　　处：《数学的实践与认识》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)

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.

关 键 词：广义L—KKM映射 下半连续映射 匹配定理 非空交定理 

分 类 号：O189.11[理学—数学]