| Coincidence Theorems with Applications to Minimax Inequalities, Section Theorem, Best Approximation and Multiobjective Games in Topological Spaces |
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| 作者姓名： | Lei DENG Ming Ge YANG |
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| 作者单位： | Department of Mathematics, Southwest University, Chongqing 400715, P. R. China |
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| 基金项目： | Supported by National Natural Science Foundation of China （10471113） and Natural Science Foundation Project of CQ CSTC （2005BB2097） |
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| 摘 要： |
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| 关 键 词： | 广义R-KKM映射 局部交叉性 多目标博弈 Pareto均衡 Nash均衡 存在理论 |
| 收稿时间： | 2005-04-13 |
| 修稿时间： | 2005-04-132005-12-20 |
Coincidence Theorems with Applications to Minimax Inequalities, Section Theorem, Best Approximation and Multiobjective Games in Topological Spaces |
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| Lei DENG Ming Ge YANG.Coincidence Theorems with Applications to Minimax Inequalities, Section Theorem, Best Approximation and Multiobjective Games in Topological Spaces[J].Acta Mathematica Sinica,2006,22(6):1809-1818. |
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| Authors: | Lei Deng Ming Ge Yang |
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| Institution: | (1) Department of Mathematics, Southwest University, Chongqing 400715, P. R. China |
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| Abstract: | Some new coincidence theorems involving admissible set-valued mappings are proved in general noncompact topological spaces. As applications, some new minimax inequalities, section theorem, best approximation theorem, existence theorems of weighted Nash equilibria and Pareto equilibria for multiobjective games are given in general topological spaces. |
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| Keywords: | admissible set-valued mapping generalized R-KKM mapping transfer compactly openvalued compactly local intersection property multiobjective game |
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