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  • Research Article
  • Open Access

Best Proximity Pairs for Upper Semicontinuous Set-Valued Maps in Hyperconvex Metric Spaces

  • 1Email author,
  • 2,
  • 3 and
  • 4
Fixed Point Theory and Applications20082008:648985

  • Received: 14 July 2008
  • Accepted: 27 October 2008
  • Published:


A best proximity pair for a set-valued map with respect to a map is defined, and new existence theorems of best proximity pairs for upper semicontinuous set-valued maps with respect to a homeomorphism are proved in hyperconvex metric spaces.


  • Differential Geometry
  • Computational Biology
  • Full Article
  • Publisher Note
  • Proximity Pair

Publisher note

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Authors’ Affiliations

Department of Mathematics, Faculty of Basic Sciences, University of Shahrekord, Shahrekord, 88186-34141, Iran
Department of Mathematics, School of Science, Razi University, Kermanshah, 67149, Iran
Department of Mathematics, College of Arts, Social Sciences and Celtic Studies, National University of Ireland, Galway, Ireland
Department of Mathematical Sciences, College of Science, Florida Institute of Technology, Melbourne, FL 32901, USA


© 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.