Best proximity pairs theorems for continuous set-valued maps

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

doi:10.13025/25153

Best proximity pairs theorems for continuous set-valued maps

A. Amini-Harandi
, A. P. Farajzadeh
, Donald 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

3 Citations (Scopus)

Abstract

A best proximity pair for a set-valued map F : A -○ B with respect to a set-valued map G : A -○ A is defined, and a new existence theorem of best proximity pairs for continuous set-valued maps is proved in nonexpansive retract metric spaces. As an application, we derive a coincidence point theorem.

Original language	English
Article number	607926
Journal	Fixed Point Theory and Applications
Volume	2008
DOIs	https://doi.org/10.13025/25153 https://doi.org/10.1155/2008/607926
Publication status	Published - Sept 2008

Keywords

hyperconvex spaces
mappings
metric-spaces
selection theorem

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10.13025/25153Licence: CC BY
10.1155/2008/607926

Cite this

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title = "Best proximity pairs theorems for continuous set-valued maps",

abstract = "A best proximity pair for a set-valued map F : A -○ B with respect to a set-valued map G : A -○ A is defined, and a new existence theorem of best proximity pairs for continuous set-valued maps is proved in nonexpansive retract metric spaces. As an application, we derive a coincidence point theorem.",

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AU - Amini-Harandi, A.

AU - Farajzadeh, A. P.

AU - O'Regan, Donald

AU - Agarwal, R. P.

PY - 2008/9

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N2 - A best proximity pair for a set-valued map F : A -○ B with respect to a set-valued map G : A -○ A is defined, and a new existence theorem of best proximity pairs for continuous set-valued maps is proved in nonexpansive retract metric spaces. As an application, we derive a coincidence point theorem.

AB - A best proximity pair for a set-valued map F : A -○ B with respect to a set-valued map G : A -○ A is defined, and a new existence theorem of best proximity pairs for continuous set-valued maps is proved in nonexpansive retract metric spaces. As an application, we derive a coincidence point theorem.

KW - hyperconvex spaces

KW - mappings

KW - metric-spaces

KW - selection theorem

UR - http://hdl.handle.net/10379/10241

UR - https://www.scopus.com/pages/publications/84859476833

U2 - 10.13025/25153

DO - 10.13025/25153

M3 - Article

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VL - 2008

JO - Fixed Point Theory and Applications

JF - Fixed Point Theory and Applications

M1 - 607926

ER -

Best proximity pairs theorems for continuous set-valued maps

Abstract

Keywords

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