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转移紧开覆盖的Ky Fan型匹配定理及对抽象经济平衡应用(英文) 被引量:12

Ky Fan Matching Theorems for Transfer Compactly Open Covers and their Application to the Equilibrium for Abstract Economies
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摘要 本文建立了转移紧开覆盖的两个Ky Fan匹配定理。作为应用,研究了Fan-Browder重合定理和极大元定理,最后,建立了超凸空间中的定性对策和抽象经济的平衡存在定理。 Two Ky Fan matching theorems for transfer compactly open covers are established. As their application, a Fan-Browder type coincidence theorem and a maximal element theorem are obtained. Finally, the existence theorems of equilibrium for abstract economies and qualitative games in hyperconvex spaces are derived.
作者 文开庭
机构地区 毕节学院数学系
出处 《工程数学学报》 CSCD 北大核心 2008年第1期149-154,共6页 Chinese Journal of Engineering Mathematics
基金 Scientific Research Foundation of Bijie University (20072001)
关键词 超凸空间 匹配 转移紧开 抽象经济 平衡点 hyperconvex space matching transfer compactly open abstract economy equilibrium
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  • 2Khamsi M A. KKM and Ky Fan theorems in hyperconvex metric spaces [J]. J. Math. Anal. Appl.,1996, 204: 298-306.
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  • 6沈自飞.局部凸H-空间中的 Ky Fan型截口定理及其应用[J].数学进展,2000,29(1):77-82. 被引量:6

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