An intersection theorem with applications in minimax theory and equilibrium problem

被引：11

作者：

Balaj, Mircea ^{[1
]}

机构：

[1] Univ Oradea, Dept Math, Oradea 410087, Romania

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 336卷 / 01期

关键词：

KKM-property; transfer closed (open) valued; minimax inequality; p-transfer semicontinuous map; (r. E)-diagonally quasiconvex map; equilibrium problem;

D O I：

10.1016/j.jmaa.2007.02.065

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we obtain a very general intersection theorem for the values of a map. From this we derive an analytic alternative, a new type of minimax inequality and an alternative theorem concerning three abstract equilibrium problems. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：363 / 371

页数：9

共 14 条

[1] A note on equilibrium problems with properly quasimonotone bifunctions [J].