New Generalized L-KKM Type Theorems in Topological Spaces with Applications 被引量：1

New Generalized L-KKM Type Theorems in Topological Spaces with Applications

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摘要 In this paper, some new generalized L-KKM type theorems with finitely open values and with finitely closed values are established without any convexity structure in topological spaces. As applications, some new matching theorem, fixed point theorem and existence theorem of equilibrium problem with lower and upper bounds are also given under some suitable conditions. These theorems presented in this paper unify and generalize some corresponding known results in recent literatures. In this paper, some new generalized L-KKM type theorems with finitely open values and with finitely closed values are established without any convexity structure in topological spaces. As applications, some new matching theorem, fixed point theorem and existence theorem of equilibrium problem with lower and upper bounds are also given under some suitable conditions. These theorems presented in this paper unify and generalize some corresponding known results in recent literatures.

作者 Min FANG

机构地区 Department of Economic Mathematics

出处《Journal of Mathematical Research with Applications》 CSCD 2013年第3期365-371,共7页 数学研究及应用（英文版）

基金 Supported by the Project 211(phase III)of Southwestern University of Finance and Economics(GrantNo.211QN09012)

关键词 generalized L-KKM mapping finitely closed valued finitely open valued fixed point equilibrium problem. generalized L-KKM mapping finitely closed valued finitely open valued fixed point equilibrium problem.

分类号 O189.11 [理学—基础数学]

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