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

A. Amini-Harandi; A. P. Farajzadeh; Donal O'Regan; R. P. Agarwal

doi:10.13025/27137

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

A. Amini-Harandi
, A. P. Farajzadeh
, Donal O'Regan
, R. P. Agarwal

Mathematics

University of Shahrekord
Razi University
Department of Mathematical Sciences

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

6 Citations (Scopus)

Abstract

A best proximity pair for a set-valued map F : A - B with respect to a map g : A - A 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. Copyright (c) 2008 A. Amini-Harandi et al.

Original language	English (Ireland)
Article number	648985
Journal	Fixed Point Theory And Applications
Volume	2008
DOIs	https://doi.org/10.13025/27137 https://doi.org/10.1155/2008/648985
Publication status	Published - 1 Aug 2008

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10.13025/27137Licence: CC BY-NC-ND
10.1155/2008/648985

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title = "Best Proximity Pairs for Upper Semicontinuous Set-Valued Maps in Hyperconvex Metric Spaces",

abstract = "A best proximity pair for a set-valued map F : A - B with respect to a map g : A - A 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. Copyright (c) 2008 A. Amini-Harandi et al.",

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AU - Amini-Harandi, A.

AU - Farajzadeh, A. P.

AU - O'Regan, Donal

AU - Agarwal, R. P.

PY - 2008/8/1

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N2 - A best proximity pair for a set-valued map F : A - B with respect to a map g : A - A 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. Copyright (c) 2008 A. Amini-Harandi et al.

AB - A best proximity pair for a set-valued map F : A - B with respect to a map g : A - A 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. Copyright (c) 2008 A. Amini-Harandi et al.

UR - http://hdl.handle.net/10379/10240

UR - https://www.scopus.com/pages/publications/61549101268

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JO - Fixed Point Theory And Applications

JF - Fixed Point Theory And Applications

M1 - 648985

ER -

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

Abstract

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