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Generalized KKM-Type Theorems for Weakly Generalized KKM Mapping with Some Applications 被引量：1

Generalized KKM-Type Theorems for Weakly Generalized KKM Mapping with Some Applications
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摘要 In this paper, we establish some new generalized KKM-type theorems based on weakly generalized KKM mapping without any convexity structure in topological spaces. As applications, some minimax inequalities and an existence theorem of equilibrium points for an abstract generalized vector equilibrium problem are proved in topological spaces. The results presented in this paper unify and generalize some known results in recent literature. In this paper, we establish some new generalized KKM-type theorems based on weakly generalized KKM mapping without any convexity structure in topological spaces. As applications, some minimax inequalities and an existence theorem of equilibrium points for an abstract generalized vector equilibrium problem are proved in topological spaces. The results presented in this paper unify and generalize some known results in recent literature.
作者 Gu-sheng Tang Li-zhi Zhu Jin-wang Liu Cao-zong Cheng
机构地区 Department of Mathematics Department of Mathematics
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2010年第2期311-320,共10页 应用数学学报（英文版）
基金 Supported by the National Natural Science Foundation of China (No. 10771058) the Hunan Provincial Natural Science Foundation (No. 09JJ6013)
关键词 Weakly generalized KKM mapping Generalized KKM-type theorem Weakly generalized diagonally quasi-convex （W S K） mapping pair Generalized vector equilibrium Weakly generalized KKM mapping, Generalized KKM-type theorem, Weakly generalized diagonally quasi-convex, （W, S, K） mapping pair, Generalized vector equilibrium
分类号 O177.91 [理学—基础数学] O189.11 [理学—基础数学]
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参考文献21

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引证文献1

Acta Mathematicae Applicatae Sinica
2010年 第2期

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