Fixed Point Theory and Applications
Volume 2006 (2006), Article ID 72184, 9 pages

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

Copyright © 2006 Tian-Yuan Kuo 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.


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.