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广义L-KKM定理及其应用
引用本文:张红玲,陈滋利.广义L-KKM定理及其应用[J].数学的实践与认识,2008,38(7).
作者姓名:张红玲  陈滋利
基金项目:西南交通大学青年教师科研起步项目
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.

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 Theorems and Their Applications
ZHANG Hong-ling,CHEN Zi-li.Generalized L-KKM Theorems and Their Applications[J].Mathematics in Practice and Theory,2008,38(7).
Authors:ZHANG Hong-ling  CHEN Zi-li
Abstract: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.
Keywords:generalized L-KKM mapping  lower semicontinuous mapping  matching theorem  nonempty intersection theorem
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