A \(G\)-KKM type theorem and its applications to minimax inequalities on \(G\)-convex spaces
type: Item
instance of: scholarly article
title: A \(G\)-KKM type theorem and its applications to minimax inequalities on \(G\)-convex spaces
zbMATH Open document ID: 0922.47046
DOI: 10.1155/S1048953398000409
author: K. Appert
published in: Journal of Applied Mathematics and Stochastic Analysis
publication date: 1999-02-02T00:00:00Z
full work available at URL: https://eudml.org/doc/48251
review text: Summary: A \(G\)-KKM type theorem is obtained on \(G\)-convex spaces. As application, a generalization of Ky Fan's minimax inequality to non-compact sets on \(G\)-convex spaces is first obtained. As special cases of this minimax inequality, some new minimax inequalities are obtained. Four fixed point theorems and four equivalent formulations of the second minimax inequality are also obtained.
Mathematics Subject Classification ID: 47H04
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47H05
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 54C60
zbMATH DE Number: 1247737
zbMATH Keywords: \(G\)-convex hulls
zbMATH Keywords: lower semicontinuous and upper semicontinuous maps
zbMATH Keywords: \(G\)-KKM type theorem
zbMATH Keywords: \(G\)-convex spaces
zbMATH Keywords: Ky Fan's minimax inequality
zbMATH Keywords: fixed point theorems
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1247737