应用泛函分析学报2009,Vol.11Issue(1):9-14,6.
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
The Maximal Element Theorem in Noncompact Hyperconvex Metric Spaces and Its Application to the Minimax Question and the Saddle Point Question
摘要
Abstract
An existence theorem for maximal elements is established in noncompact sub-admissiblesubsets 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Key words
hyperconvex metric space/sub-admissible subset/fixed point/maximal element/minimax inequality/saddle point/noncompact measure分类
数理科学引用本文复制引用
文开庭..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[J].应用泛函分析学报,2009,11(1):9-14,6.基金项目
Project supported by the Scientific Research Foundation of Bijie University ()