Fixed Point Theory and Applications

, 2008:543154 | Cite as

Coincidence Point, Best Approximation, and Best Proximity Theorems for Condensing Set-Valued Maps in Hyperconvex Metric Spaces

  • A. Amini-Harandi
  • A. P. Farajzadeh
  • D. O'Regan
  • R. P. Agarwal
Open Access
Research Article

Abstract

In hyperconvex metric spaces, we first present a coincidence point theorem for condensing set-valued self-maps. Then we consider the best approximation problem and the best proximity problem for set-valued mappings that are condensing. As an application, we derive a coincidence point theorem for nonself-condensing set-valued maps.

Keywords

Point Theorem Differential Geometry Approximation Problem Computational Biology Full Article 

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Copyright information

© A. Amini-Harandi et al. 2008

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

  • A. Amini-Harandi
    • 1
  • A. P. Farajzadeh
    • 2
  • D. O'Regan
    • 3
  • R. P. Agarwal
    • 4
  1. 1.Department of MathematicsUniversity of ShahrekordShahrekordIran
  2. 2.Department of MathematicsRazi UniversityKermanshahIran
  3. 3.Department of MathematicsNational University of IrelandGalwayIreland
  4. 4.Department of Mathematical SciencesFlorida Institute of TechnologyMelbourneUSA

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