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