| 拓扑空间中的KKM型定理的推广及其应用 |
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| 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,2013,28(8):8-12. |
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| 作者姓名： | 王彬 刘恒 |
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| 作者单位： | 1. 内江师院学院数学与信息科学学院,四川 内江,641100
2. 内江市白马第二职业中学,四川 内江,641000 |
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| 基金项目： | 四川省教育厅科研基金资助 |
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| 摘 要： | 在FC-空间的非紧子集上引入了R-SKKM映射,建立了关于紧闭值和转移紧闭值的R-SKKM映射的R-SKKM定理,得到了FC-空间中的极大极小不等式定理和鞍点定理.
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| 关 键 词： | FC-空间 R-SKKM映射 转移紧闭值 广义λ-FC-S-对角拟凸 λ-转移紧下半连续 |
A Generalization of KKM-type Theorem with Their Applications in Topological Space |
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| WANG Bin
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LIU Heng.A Generalization of KKM-type Theorem with Their Applications in Topological Space[J].Journal of Neijiang Teachers College,2013,28(8):8-12. |
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| Authors: | WANG Bin LIU Heng |
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| Institution: | 1.College of Mathematics and Information Science,Neijiang Normal University,Neijiang,Sichuan 641100,China;2.Neijiang No.2Vocational Middle School,Neijiang,Sichuan 641000,China) |
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| Abstract: | By introduction of some R-SKKM mappings to the non-compact subsets in FC-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 FC-spaces. |
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| Keywords: | FC-space R-SKKM mapping transferred compact closed-value generalizedλ-FC-S-diagonally quasiconvex λ-transfer compactly lower semi-continuous |
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