Journal of Applied Analysis EMIS ELibM Electronic Journals Journal of Applied Analysis
Vol. 3, No. 2, pp. 239-248 (2003)

Previous Article

Next Article

Contents of this Issue

Other Issues


ELibM Journals

ELibM Home

EMIS Home

 

Minimax inequality of Ky-Fan type in $H$-spaces with applications

Y. Xu and X. Wu

Department of Mathematics
Kunming Junior Normal College
Kunming Yunnan 650031
People's Republic of China
Department of Mathematics
Yunnan Normal University
Kunming Yunnan 650092
People's Republic of China

Abstract: In this paper, we prove a main result about Ky Fan minimax inequality in any compact $H$-space. Then, we apply this result to fixed point problem, intersection problem of sets with convex sections, minimax inequality of the Von Neumann type, and variational inequality.

Keywords: $H$-space, $H$-convex, $H$-quasiconcave, transfer lower-semicontinuous

Classification (MSC2000): 47H04, 47H10, 49J35, 52A07

Full text of the article:


Electronic version published on: 12 Jun 2003. This page was last modified: 12 Jun 2003.

© 2003 Heldermann Verlag
© 2003 ELibM and FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition