Fixed Point Theory and Applications
Volume 2006 (2006), Issue 1, Pages Article 72184, 9 p.
doi:10.1155/FPTA/2006/72184

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

Tian-Yuan Kuo1 , Young-Ye Huang2 , Jyh-Chung Jeng3 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

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.