A G-KKM type theorem and its applications to minimax inequalities on G-convex spaces. (1998)

• Record Type: Journal Article
• Authors: Chowdhury, Mohammad S. R.
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 11:Number 4(1998)
• Page Start: 493
• Page End: 505
• Publication Date: 1998
• Subjects: G-convex spaces -- G-convex sets -- G-convex hulls -- G- KKM theorem -- minimax inequality -- lower semi-continuous and upper semi-continuous maps; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953398000409
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : 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 inequalites are obtained. Four fixed point theorems and four equivalent formulations of the second minimax inequality are also obtained.