| New Generalized R-KKM Type Theorems in General Topological Spaces and Applications |
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| 作者姓名： | Xie Ping DING |
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| 作者单位： | College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, P. R. China |
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| 基金项目： | This project is supported by Natural Science Foundation of Sichuan Education Department of China （2003A081） and SZD0406 |
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| 摘 要： |
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| 关 键 词： | R-KKM映射 拓扑空间 不等式 鞍基点 平衡问题 |
| 收稿时间： | 25 November 2005 |
| 修稿时间： | 2005-11-25 |
New Generalized <Emphasis Type="Italic">R-KKM</Emphasis> Type Theorems in General Topological Spaces and Applications |
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| Xie Ping DING.New Generalized R-KKM Type Theorems in General Topological Spaces and Applications[J].Acta Mathematica Sinica,2007,23(10):1869-1880. |
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| Authors: | Xie Ping Ding |
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| Institution: | (1) College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, P. R. China |
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| Abstract: | In this paper, some new generalized R-KKM type theorems for generalized R-KKM mappings with finitely closed values and with finitely open values are established in noncompact topological spaces without any convexity structure under much weaker assumptions. As applications, some new minimax inequalities, saddle point theorem and equilibrium existence theorem for equilibrium problems with lower and upper bounds are established in general noncompact topological spaces. These theorems unify and generalize many known results in the literature. |
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| Keywords: | generalized R-KKM mapping finitely closed-valued (open-valued) generalized R-KKM type theorem minimax inequality saddle point equilibrium problem |
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