| New Generalized $L$-KKM Type Theorems in Topological Spaces with Applications |
| Received:November 28, 2011 Revised:March 27, 2012 |
| Key Words:
generalized $L$-KKM mapping finitely closed valued finitely open valued fixed point equilibrium problem.
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| Fund Project:Supported by the Project 211 (phase III) of Southwestern University of Finance and Economics (Grant No.211QN09012). |
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| Abstract: |
| 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. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2013.03.012 |
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