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.
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 approximation theorem and a maximal element theorem are obtained. Finally, equilibrium existence theorems for abstract economies and qualitative games in hyperconvex spaces are yielded.
出处
《数学进展》
CSCD
北大核心
2007年第4期407-414,共8页
Advances in Mathematics（China）
基金
Supported by the Scientific Research Foundation of Bijie University.
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
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
