Fixed Point Theory and Applications 
Volume 2006 (2006), Article ID 72184, 9 pages
doi:10.1155/FPTA/2006/72184

Coincidence and fixed point theorems for functions in S-KKM class on generalized convex spaces

Tian-Yuan Kuo,1 Young-Ye Huang,2 Jyh-Chung Jeng,3 and Chen-Yuh Shih4

 1Fooyin University, 151 Chin-Hsueh Rd., Ta-Liao Hsiang, Kaohsiung Hsien 831, Taiwan
2Center for General Education, Southern Taiwan University of Technology, 1 Nan-Tai St. Yung-Kang City, Tainan Hsien 710, Taiwan
3Nan-Jeon Institute of Technology, Yen-Shui, Tainan Hsien 737, Taiwan
4Department of Mathmatics, Cheng Kung University, Tainan 701, Taiwan
Received 25 October 2004; Revised 13 July 2005; Accepted 1 September 2005

Abstract

We establish a coincidence theorem in S-KKM class by means of the basic defining property for multifunctions in S-KKM. Based on this coincidence theorem, we deduce some useful corollaries and investigate the fixed point problem on uniform spaces.