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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

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


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.


  • Point Theorem
  • Differential Geometry
  • Approximation Problem
  • Computational Biology
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Authors’ Affiliations

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