Type: Article

Fixed point theorems for the class S-KKM mappings in abstract convex spaces

Journal: Nonlinear Analysis, Theory, Methods and Applications (0362546X)Year: 2007Volume: Issue: 1Pages: 14 - 21

Amini A.Fakhar M.^a Zafarani J.

a :University of Isfahan - IRAN(IR) - Isfahan

DOI:10.1016/j.na.2005.11.005Language: English

Abstract

We define KKM mappings and S-KKM mappings similarly to in the case of convex spaces for abstract convex spaces. Some approximate fixed point theorems will be established for the multifunction with the S-KKM property on Φ-spaces. We also obtain a new version of Sadovskii's fixed point theorem in topological spaces. © 2005 Elsevier Ltd. All rights reserved.

Author Keywords

Φ-spacesAbstract convex spacesApproximate fixed pointCondensing mappingsKKM propertyMetric spaces

Other Keywords

Approximation theoryConformal mappingProblem solvingTopologyΦ-spacesAbstract convex spacesApproximate fixed pointsCondensing mappingsKKM propertyMetric spacesTheorem proving