Generalized KKM-Type Theorems for Weakly Generalized KKM Mapping with Some Applications  

作　　者：Gu-sheng Tang Li-zhi Zhu Jin-wang Liu Cao-zong Cheng 

机构地区：[1]Department of Mathematics, Hunan University of Science and Technology, Xiangtan 411201, China [2]Department of Mathematics, Beijing University of Technology, Beijing 100022, China

出　　处：《Acta Mathematicae Applicatae Sinica》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)

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.

关 键 词：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—数学] O189.11[理学—基础数学]