一个新的GMλ-KKM定理及其鞍点的应用

数学季刊 ›› 2010, Vol. 25 ›› Issue (3): 385-389.

一个新的GMλ-KKM定理及其鞍点的应用

Department of Computer Science, Bijie University

收稿日期:2006-11-18 出版日期:2010-09-30 发布日期:2023-05-25
作者简介:WEN Kai-ting(1962- ), male, native of Dafang, Guizhou, a professor of Bijie University, M.D.S., engages in nonlinear analysis.
基金资助:
Supported by the Natural Science Research Foundation of Guizhou Provincial Education Department(2008072)； Supported by the Natural Science Foundation of Science and Technology Bureau of Bijie Area(2008-06)；

A New GMλ-KKM Theorem and Its Application to Saddle Points

Department of Computer Science, Bijie University

Received:2006-11-18 Online:2010-09-30 Published:2023-05-25
About author:WEN Kai-ting(1962- ), male, native of Dafang, Guizhou, a professor of Bijie University, M.D.S., engages in nonlinear analysis.
Supported by:
Supported by the Natural Science Research Foundation of Guizhou Provincial Education Department(2008072)； Supported by the Natural Science Foundation of Science and Technology Bureau of Bijie Area(2008-06)；

摘要/Abstract

摘要： In this paper, a new GMλ-KKM theorem is established for noncompact λ-hyperconvex metric spaces. As applications, the properties of the solution set of the variational inequality is shown and an existence theorem for saddle points is obtained.

关键词: λ-hyperconvex space, λ-sub-admissible set, noncompact measure, variational
inequality, saddle point

Abstract: In this paper, a new GMλ-KKM theorem is established for noncompact λ-hyperconvex metric spaces. As applications, the properties of the solution set of the variational inequality is shown and an existence theorem for saddle points is obtained.

Key words: λ-hyperconvex space, λ-sub-admissible set, noncompact measure, variational
inequality, saddle point

中图分类号:

O177.91

文开庭. 一个新的GMλ-KKM定理及其鞍点的应用[J]. 数学季刊, 2010, 25(3): 385-389.

WEN Kai-ting. A New GMλ-KKM Theorem and Its Application to Saddle Points[J]. Chinese Quarterly Journal of Mathematics, 2010, 25(3): 385-389.