Best Proximity Points for Cyclical Contractive Mappings

Best Proximity Points for Cyclical Contractive Mappings

We consider p-cyclic mappings and prove an analogous result to Edelstien contractive theorem for best proximity points. Also we give similar results satisfying Boyd-Wong and Geraghty contractive conditions.

Bibliographic Details
Main Authors: J. Maria Felicit, A. Anthony Eldred
Format: Article
Language:English
Published: Universitat Politècnica de València 2015-10-01
Series:Applied General Topology
Subjects:
best proximity point, p-cyclic mapping, cyclical contractive mapping, cyclical proximal property
Online Access:http://polipapers.upv.es/index.php/AGT/article/view/3242
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spelling doaj-d557351bf0864835a92006f6bebe4b302020-11-24T22:53:45ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472015-10-0116211912610.4995/agt.2015.32422958Best Proximity Points for Cyclical Contractive MappingsJ. Maria Felicit0A. Anthony Eldred1St. Joseph's College, Tiruchirappalli, IndiaSt. Joseph's College TiruchirappalliWe consider p-cyclic mappings and prove an analogous result to Edelstien contractive theorem for best proximity points. Also we give similar results satisfying Boyd-Wong and Geraghty contractive conditions.http://polipapers.upv.es/index.php/AGT/article/view/3242best proximity point, p-cyclic mapping, cyclical contractive mapping, cyclical proximal property
collection DOAJ
language English
format Article
sources DOAJ
author J. Maria Felicit
A. Anthony Eldred
spellingShingle J. Maria Felicit
A. Anthony Eldred
Best Proximity Points for Cyclical Contractive Mappings
Applied General Topology
best proximity point, p-cyclic mapping, cyclical contractive mapping, cyclical proximal property
author_facet J. Maria Felicit
A. Anthony Eldred
author_sort J. Maria Felicit
title Best Proximity Points for Cyclical Contractive Mappings
title_short Best Proximity Points for Cyclical Contractive Mappings
title_full Best Proximity Points for Cyclical Contractive Mappings
title_fullStr Best Proximity Points for Cyclical Contractive Mappings
title_full_unstemmed Best Proximity Points for Cyclical Contractive Mappings
title_sort best proximity points for cyclical contractive mappings
publisher Universitat Politècnica de València
series Applied General Topology
issn 1576-9402
1989-4147
publishDate 2015-10-01
description We consider p-cyclic mappings and prove an analogous result to Edelstien contractive theorem for best proximity points. Also we give similar results satisfying Boyd-Wong and Geraghty contractive conditions.
topic best proximity point, p-cyclic mapping, cyclical contractive mapping, cyclical proximal property
url http://polipapers.upv.es/index.php/AGT/article/view/3242
work_keys_str_mv AT jmariafelicit bestproximitypointsforcyclicalcontractivemappings
AT aanthonyeldred bestproximitypointsforcyclicalcontractivemappings
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