Existence and Convergence of Best Proximity Points for Semi Cyclic Contraction Pairs

In this article, we introduce the notion of a semi cyclic ϕ-contraction pair of mappings, which contains semi cyclic contraction pairs as a subclass. Existence and convergence results of best proximity points for semi cyclic ϕ- contraction pair of mappings are obtained.

Bibliographic Details
Main Authors: Balwant Singh Thakur, Ajay Sharma
Format: Article
Language:English
Published: Etamaths Publishing 2014-02-01
Series:International Journal of Analysis and Applications
Online Access:http://etamaths.com/index.php/ijaa/article/view/262
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author Balwant Singh Thakur
Ajay Sharma
author_facet Balwant Singh Thakur
Ajay Sharma
author_sort Balwant Singh Thakur
collection DOAJ
description In this article, we introduce the notion of a semi cyclic ϕ-contraction pair of mappings, which contains semi cyclic contraction pairs as a subclass. Existence and convergence results of best proximity points for semi cyclic ϕ- contraction pair of mappings are obtained.
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spelling doaj.art-7ba09b3da1f64360a106b8553b3080312022-12-21T21:47:58ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392014-02-0151334467Existence and Convergence of Best Proximity Points for Semi Cyclic Contraction PairsBalwant Singh Thakur0Ajay Sharma1Pt. Ravishankar Shukla UniversityPt. Ravishankar Shukla UniversityIn this article, we introduce the notion of a semi cyclic ϕ-contraction pair of mappings, which contains semi cyclic contraction pairs as a subclass. Existence and convergence results of best proximity points for semi cyclic ϕ- contraction pair of mappings are obtained.http://etamaths.com/index.php/ijaa/article/view/262
spellingShingle Balwant Singh Thakur
Ajay Sharma
Existence and Convergence of Best Proximity Points for Semi Cyclic Contraction Pairs
International Journal of Analysis and Applications
title Existence and Convergence of Best Proximity Points for Semi Cyclic Contraction Pairs
title_full Existence and Convergence of Best Proximity Points for Semi Cyclic Contraction Pairs
title_fullStr Existence and Convergence of Best Proximity Points for Semi Cyclic Contraction Pairs
title_full_unstemmed Existence and Convergence of Best Proximity Points for Semi Cyclic Contraction Pairs
title_short Existence and Convergence of Best Proximity Points for Semi Cyclic Contraction Pairs
title_sort existence and convergence of best proximity points for semi cyclic contraction pairs
url http://etamaths.com/index.php/ijaa/article/view/262
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