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J. ZAFARANI 
KKM PROPERTY IN TOPOLOGICAL SPACES
(Volume 73 - Année 2004 — Numéro 2 - 3)
Article
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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 : https://popups.uliege.be/0037-9565/index.php?id=800.
About: J. ZAFARANI
Department of Mathematics, University of Isfahan, Isfahan, 81745-163, Iran
