| 拓扑空间中新的广义L-KKM型定理及其应用 |
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| 引用本文： | 方敏.拓扑空间中新的广义L-KKM型定理及其应用[J].数学研究及应用,2013,33(3):365-371. |
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| 作者姓名： | 方敏 |
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| 作者单位： | 西南财经大学经济数学学院, 四川 成都 610074 |
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| 基金项目： | 西南财经大学"211"三期项目(Grant No.211QN09012). |
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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 the orem 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.
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| 关 键 词： | generalized L-KKM mapping finitely closed valued finitely open valued fixed point equilibrium problem. |
| 收稿时间： | 2011/11/28 0:00:00 |
| 修稿时间： | 2012/3/27 0:00:00 |
New Generalized $L$-KKM Type Theorems in Topological Spaces with Applications |
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| Min FANG.New Generalized $L$-KKM Type Theorems in Topological Spaces with Applications[J].Journal of Mathematical Research with Applications,2013,33(3):365-371. |
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| Authors: | Min FANG |
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| Institution: | Department of Economic Mathematics, South Western University of Finance and Economics, Sichuan 610074, P. R. China |
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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. |
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| Keywords: | generalized $L$-KKM mapping finitely closed valued finitely open valued fixed point equilibrium problem |
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