Best Proximity Pairs Theorems for Continuous Set-Valued Maps

Best Proximity Pairs Theorems for Continuous Set-Valued Maps

<p>Abstract</p> <p>A best proximity pair for a set-valued map <inline-formula> <graphic file="1687-1812-2008-607926-i1.gif"/></inline-formula> with respect to a set-valued map <inline-formula> <graphic file="1687-1812-2008-607926-i2.gif&quo...

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Main Authors: Farajzadeh AP, Agarwal RP, O&apos;Regan D, Amini-Harandi A
Format: Article
Language:English
Published: SpringerOpen 2008-01-01
Series:Fixed Point Theory and Applications
Online Access:http://www.fixedpointtheoryandapplications.com/content/2008/607926
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spelling doaj-ab1cccac0ac94087836bad02d43926422020-11-25T00:49:00ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122008-01-0120081607926Best Proximity Pairs Theorems for Continuous Set-Valued MapsFarajzadeh APAgarwal RPO&apos;Regan DAmini-Harandi A<p>Abstract</p> <p>A best proximity pair for a set-valued map <inline-formula> <graphic file="1687-1812-2008-607926-i1.gif"/></inline-formula> with respect to a set-valued map <inline-formula> <graphic file="1687-1812-2008-607926-i2.gif"/></inline-formula> 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.</p>http://www.fixedpointtheoryandapplications.com/content/2008/607926
collection DOAJ
language English
format Article
sources DOAJ
author Farajzadeh AP
Agarwal RP
O&apos;Regan D
Amini-Harandi A
spellingShingle Farajzadeh AP
Agarwal RP
O&apos;Regan D
Amini-Harandi A
Best Proximity Pairs Theorems for Continuous Set-Valued Maps
Fixed Point Theory and Applications
author_facet Farajzadeh AP
Agarwal RP
O&apos;Regan D
Amini-Harandi A
author_sort Farajzadeh AP
title Best Proximity Pairs Theorems for Continuous Set-Valued Maps
title_short Best Proximity Pairs Theorems for Continuous Set-Valued Maps
title_full Best Proximity Pairs Theorems for Continuous Set-Valued Maps
title_fullStr Best Proximity Pairs Theorems for Continuous Set-Valued Maps
title_full_unstemmed Best Proximity Pairs Theorems for Continuous Set-Valued Maps
title_sort best proximity pairs theorems for continuous set-valued maps
publisher SpringerOpen
series Fixed Point Theory and Applications
issn 1687-1820
1687-1812
publishDate 2008-01-01
description <p>Abstract</p> <p>A best proximity pair for a set-valued map <inline-formula> <graphic file="1687-1812-2008-607926-i1.gif"/></inline-formula> with respect to a set-valued map <inline-formula> <graphic file="1687-1812-2008-607926-i2.gif"/></inline-formula> 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.</p>
url http://www.fixedpointtheoryandapplications.com/content/2008/607926
work_keys_str_mv AT farajzadehap bestproximitypairstheoremsforcontinuoussetvaluedmaps
AT agarwalrp bestproximitypairstheoremsforcontinuoussetvaluedmaps
AT oaposregand bestproximitypairstheoremsforcontinuoussetvaluedmaps
AT aminiharandia bestproximitypairstheoremsforcontinuoussetvaluedmaps
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