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  • Research Article
  • Open Access

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

  • 1Email author,
  • 2,
  • 3 and
  • 4
Fixed Point Theory and Applications20082008:543154

https://doi.org/10.1155/2008/543154

  • Received: 8 October 2008
  • Accepted: 9 December 2008
  • Published:

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

Publisher note

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Authors’ Affiliations

(1)
Department of Mathematics, University of Shahrekord, Shahrekord, 88186-34141, Iran
(2)
Department of Mathematics, Razi University, Kermanshah, 67149, Iran
(3)
Department of Mathematics, National University of Ireland, Galway, Ireland
(4)
Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, USA

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