| FK-映射的匹配定理及其对约束多目标对策的应用 |
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| 引用本文： | 文开庭.FK-映射的匹配定理及其对约束多目标对策的应用[J].应用数学,2012,25(2):295-299. |
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| 作者姓名： | 文开庭 |
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| 作者单位： | 毕节学院建筑工程学院,贵州毕节,551700 |
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| 基金项目： | 贵州省自然科学基金资助项目，贵州省教育厅自然科学研究基金重点资助项目 |
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| 摘 要： | 利用 KKM 技巧,建立了FC-空间中转移紧开值FK-映射的Ky Fan匹配定理.作为应用,获得了FC-空间中的Ky Fan重合定理、约束多目标对策的加权 Nash-平衡和Pareto-平衡的存在定理.
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| 关 键 词： | FC-空间 匹配 重合 约束多目标对策 Nash-平衡 Pareto-平衡 |
A Matching Theorem for FK-Mappings with Applications to Constrained Multiobjective Games |
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| WEN Kaiting.A Matching Theorem for FK-Mappings with Applications to Constrained Multiobjective Games[J].Mathematica Applicata,2012,25(2):295-299. |
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| Authors: | WEN Kaiting |
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| Institution: | WEN Kaiting(College of Civil Engineering and Architecture,Bijie University,Bijie 551700,China) |
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| Abstract: | In this paper,with the help of the KKM technique,a Ky Fan matching theorem for transfer compactly open valued FK-mappings is established in FC-spaces.As application,a Ky Fan coincidence theorem is obtained,and existence theorems for weighted Nash equilibrium and Pareto equilibrium of constrained multiobjective game are yielded in FC-spaces. |
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| Keywords: | FC-space Matching Coincidence Constrained multiobjective game Nash equilibrium Pareto equilibrium |
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