非紧超凸度量空间中的极大元定理及其对极大极小问题和鞍点问题的应用(英文)  

The Maximal Element Theorem in Noncompact Hyperconvex Metric Spaces and Its Application to the Minimax Question and the Saddle Point Question

作　　者：文开庭[1] 

机构地区：[1]毕节学院数学系,毕节551700

出　　处：《应用泛函分析学报》2009年第1期9-14,共6页Acta Analysis Functionalis Applicata

基　　金：Project supported by the Scientific Research Foundation of Bijie University

摘　　要：在非紧超凸度量空间中的非紧次允许子集中建立了一个极大元定理.作为应用,研究了Fan-Browder型不动点定理、Ky Fan极大极小不等式和鞍点定理.An existence theorem for maximal elements is established in noneompact sub-admissible subsets of noncompact hyperconvex metric spaces. As applications, a Browder-Fan fixed point theorem, a Ky Fan minimax inequality and an existence theorem for saddle points are obtained.

关 键 词：超凸度量空间 次允许子集 不动点 极大元 极大极小不等式 鞍点 非紧性测度 

分 类 号：O177.91[理学—数学]