拓扑空间中的KKM型定理的推广及其应用

王彬; 刘恒

王彬, 刘恒. 拓扑空间中的KKM型定理的推广及其应用[J]. 内江师范学院学报, 2013, (8): 8-12.

引用本文:

王彬, 刘恒. 拓扑空间中的KKM型定理的推广及其应用[J]. 内江师范学院学报, 2013, (8): 8-12.

WANG Bin, LIU Heng. A Generalization of KKM type Theorem with Their Applications in Topological Space[J]. Journal of Neijiang Normal University, 2013, (8): 8-12.

Citation:

WANG Bin, LIU Heng. A Generalization of KKM type Theorem with Their Applications in Topological Space[J]. Journal of Neijiang Normal University, 2013, (8): 8-12.

拓扑空间中的KKM型定理的推广及其应用

王彬,
刘恒

A Generalization of KKM type Theorem with Their Applications in Topological Space

WANG Bin,
LIU Heng

摘要

摘要: 在FC空间的非紧子集上引入了映射,建立了关于紧闭值和转移紧闭值的SKKM映射的RSKKM定理,得到了FC空间中的极大极小不等式定理和鞍点定理.

Abstract: By introduction of some R SKKM mappings to the non-compact subsets inFC-spaces, the R SKKM type theorem is established for generalized R SKKM mappings concerning the compactly closed value and transferred compact closed value. As its applications, some maxmin inequality and saddle point theorems are obtained in FCspaces.

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