Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 791514, 7 pages
doi:10.1155/2009/791514
Research Article

Approximate Fixed Point Theorems for the Class of Almost S-KKM𝒞 Mappings in Abstract Convex Uniform Spaces

Tong-Huei Chang, Chi-Ming Chen, and Yueh-Hung Huang

Department of Applied Mathematics, National Hsinchu University of Education, Hsin-Chu, Taiwan

Received 25 February 2009; Accepted 11 June 2009

Academic Editor: Hichem Ben-El-Mechaiekh

Copyright © 2009 Tong-Huei Chang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We use a concept of abstract convexity to define the almost S-KKM𝒞 property, al-S-KKM𝒞(X,Y) family, and almost Φ-spaces. We get some new approximate fixed point theorems and fixed point theorems in almost Φ-spaces. Our results extend some results of other authors.