Bulletin de la Société Royale des Sciences de Liège Bulletin de la Société Royale des Sciences de Liège -  Volume 73 - Année 2004  Numéro 2 - 3 

KKM PROPERTY IN TOPOLOGICAL SPACES

 J. ZAFARANI, 

Department of Mathematics, University of Isfahan, Isfahan, 81745-163, Iran

Abstract

In this paper we give a brief survey of some recent generalizations of the Fan-KKM theorem.  We introduce a new convex structure on a nonempty set M which contains all different concepts of convexity.  Some approximate fixed point theorems will be established for the multivalued mapping with S-KKM property on the [Phi] spaces.  We also obtain a generalized Fan matching theorem, a generalized Fan-Browder type theorem, and a new version of Sadovskii's fixed point theorem.

Pour citer cet article

J. ZAFARANI, «KKM PROPERTY IN TOPOLOGICAL SPACES», Bulletin de la Société Royale des Sciences de Liège [En ligne], Volume 73 - Année 2004, Numéro 2 - 3, en URL : http://popups.ulg.be/0037-9565/index.php?id=800.