Fixed Point Theory and Applications

, 2006:72184 | Cite as

Coincidence and fixed point theorems for functions in Open image in new window -KKM class on generalized convex spaces

  • Tian-Yuan Kuo
  • Young-Ye Huang
  • Jyh-Chung Jeng
  • Chen-Yuh Shih
Open Access
Research Article
  • 706 Downloads

Abstract

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

Keywords

Differential Geometry Computational Biology 

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Copyright information

© 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.

Authors and Affiliations

  • Tian-Yuan Kuo
    • 1
  • Young-Ye Huang
    • 2
  • Jyh-Chung Jeng
    • 3
  • Chen-Yuh Shih
    • 4
  1. 1.Fooyin UniversityTa-Liao HsiangTaiwan
  2. 2.Center for General EducationSouthern Taiwan University of TechnologyYung-Kang CityTaiwan
  3. 3.Nan-Jeon Institute of TechnologyYen-ShuiTaiwan
  4. 4.Department of MathmaticsCheng Kung UniversityTainanTaiwan

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