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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
引用本文:文开庭.转移紧开覆盖的Ky Fan型匹配定理及对抽象经济平衡应用[J].工程数学学报,2008,25(1):149-154.
作者姓名:文开庭
作者单位:毕节学院数学系,贵州,毕节,551700
基金项目:Scientific Research Foundation of Bijie University (20072001)
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。

关 键 词:超凸空间  匹配  转移紧开  抽象经济  平衡点
文章编号:1005-3085(2008)01-0149-06
修稿时间:2005年12月14

Ky Fan Matching Theorems for Transfer Compactly Open Covers and their Application to the Equilibrium for Abstract Economies
WEN Kai-ting.Ky Fan Matching Theorems for Transfer Compactly Open Covers and their Application to the Equilibrium for Abstract Economies[J].Chinese Journal of Engineering Mathematics,2008,25(1):149-154.
Authors:WEN Kai-ting
Abstract: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.
Keywords:hyperconvex space  matching  transfer compactly open  abstract economy  equilibrium
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