| 完备L-凸度量空间中的Ky Fan匹配定理及其对抽象经济的应用 |
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| 引用本文： | 文开庭.完备L-凸度量空间中的Ky Fan匹配定理及其对抽象经济的应用[J].应用数学,2007,20(3):593-597. |
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| 作者姓名： | 文开庭 |
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| 作者单位： | 毕节学院数学系,贵州,毕节,551700 |
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| 摘 要： | 在完备L-凸度量空间中建立了一个转移紧开覆盖的Ky Fan匹配定理．作为应用，获得了Fan-Browder重合定理和极大元定理．最后，研究了完备L-凸度量空间中抽象经济和定性对策的平衡存在定理．
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| 关 键 词： | L-凸度量空间 转移紧开(闭) 非紧性测度 匹配 极大元 抽象经济 |
| 文章编号： | 1001-9847（2007）03-0593-05 |
| 修稿时间： | 2007-01-23 |
A Ky Fan Matching Theorem in Complete L-Convex Metric Spaces and Its Application to Abstract Economies |
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| WEN Kai-ting.A Ky Fan Matching Theorem in Complete L-Convex Metric Spaces and Its Application to Abstract Economies[J].Mathematica Applicata,2007,20(3):593-597. |
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| Authors: | WEN Kai-ting |
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| Institution: | Department of Mathematics, B ij ie University, Bij ie 551700, China |
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| Abstract: | A Ky Fan matching theorem for transfer compactly open covers in complete L-convex metric spaces is established. As applications,a Fan-Browder coincidence theorem and a maximal element theorem are obtained. Finally, equilibrium existence theorems for abstract economies and qualitative games in complete L-convex metric spaces are yielded. |
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| Keywords: | L-convex metric space Transfer compactly open(closed) Noncompact measure Matching Maximal element Abstract economy |
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