Bulletin of the Australian Mathematical Society

Table of Contents - 1990 - Volume 42, Issue 01  

Research Article

A fixed point theorem in H-space and related results

E. Tarafdara1

a1 Department of Mathematics, The University of Queensland, Queensland 4072, Australia

Abstract

The equivalence of a fixed point theorem and the Fan-Knaster-Kuratowski-Mazurkiewicz theorem in H-space has been established. The fixed point theorem is then applied to obtain a theorem on sets with H-convex sections, and also results on minimax inequalities.

(Received September 28 1989)