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紧开覆盖的一个新的Ky Fan型匹配定理及其应用
引用本文:文开庭.紧开覆盖的一个新的Ky Fan型匹配定理及其应用[J].数学进展,2007,36(4):407-414.
作者姓名:文开庭
作者单位:毕节大学数学系,毕节,贵州,551700
基金项目:Supported by the Scientific Research Foundation of Bijie University.
摘    要:建立了紧开覆盖的一个新的Ky Fan型匹配定理.作为应用,研究了Fan-Browder型重合定理、Ky Fan型最佳逼近定理、极大元定理及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  Ky  Fan型匹配定理  Ky  Fan型最佳逼近定理  极大元  定性对策  抽象经济  平衡点
文章编号:1000-0917(2007)04-0407-08
修稿时间:2005-06-15

A New Ky Fan Type Matching Theorem for Compactly Open Covers and Its Applications
WEN Kaiting.A New Ky Fan Type Matching Theorem for Compactly Open Covers and Its Applications[J].Advances in Mathematics,2007,36(4):407-414.
Authors:WEN Kaiting
Institution:Department of Mathematics, Bijie University, Bijie, Guizhou, 551700, P. R. China
Abstract:In this paper,a new Ky Fan type matching theorem for compactly open covers is established.As applications,a Fan-Browder type coincidence theorem,a Ky Fan type best approxi- mation theorem and a maximal element theorem are obtained.Finally,equilibrium existence theorems for abstract economies and qualitative games in hyperconvex spaces are yielded.
Keywords:hyperconvex space  Ky Fan type matching theorem  Fan-Browder type coincidence theorem  Ky Fan type best approximation theorem  the maximal element  qualitative game  abstract economy  equilibrium
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