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  • Research Article
  • Open Access

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

  • 1Email author,
  • 2,
  • 3 and
  • 4
Fixed Point Theory and Applications20062006:72184

  • Received: 25 October 2004
  • Accepted: 1 September 2005
  • Published:


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.


  • Differential Geometry
  • Computational Biology


Authors’ Affiliations

Fooyin University, 151 Chin-Hsueh Rd.,, Ta-Liao Hsiang, Kaohsiung Hsien, 831, Taiwan
Center for General Education, Southern Taiwan University of Technology, 1 Nan-Tai St., Yung-Kang City, Tainan Hsien, 710, Taiwan
Nan-Jeon Institute of Technology, Yen-Shui, Tainan Hsien, 737, Taiwan
Department of Mathmatics, Cheng Kung University, Tainan, 701, Taiwan


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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.