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

Abstract

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.

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Correspondence to A. Amini-Harandi.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Amini-Harandi, A., Farajzadeh, A.P., O'Regan, D. et al. Best Proximity Pairs for Upper Semicontinuous Set-Valued Maps in Hyperconvex Metric Spaces. Fixed Point Theory Appl 2008, 648985 (2008). https://doi.org/10.1155/2008/648985

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  • DOI: https://doi.org/10.1155/2008/648985

Keywords

  • Differential Geometry
  • Computational Biology
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  • Proximity Pair