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

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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

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

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