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J. ZAFARANI

KKM PROPERTY IN TOPOLOGICAL SPACES

(Volume 73 - Année 2004 — Numéro 2 - 3)
Article
Open Access
Mots-clés : KKM property, f-space, [Phi]-space, approximate fixed point, metric space, condensing mapping

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.

To cite this 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.

About:  J. ZAFARANI

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