Open Access

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

  • Tian-Yuan Kuo1Email author,
  • Young-Ye Huang2,
  • Jyh-Chung Jeng3 and
  • Chen-Yuh Shih4
Fixed Point Theory and Applications20062006:72184

DOI: 10.1155/FPTA/2006/72184

Received: 25 October 2004

Accepted: 1 September 2005

Published: 26 February 2006


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


Authors’ Affiliations

Fooyin University
Center for General Education, Southern Taiwan University of Technology
Nan-Jeon Institute of Technology
Department of Mathmatics, Cheng Kung University


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© Tian-Yuan Kuo et al. 2006

This article is published under license to BioMed Central Ltd. 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.