A New Result on Tricyclic Mappings

In this note, we present a best proximity point theorem for tricyclic contractions in the setting of CAT(0) spaces. In the same context, we give an elaborate counterexample.

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Main Authors: Taoufik Sabar, Abdelhafid Bassou, Mohamed Aamri
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2020/9525890
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author Taoufik Sabar
Abdelhafid Bassou
Mohamed Aamri
author_facet Taoufik Sabar
Abdelhafid Bassou
Mohamed Aamri
author_sort Taoufik Sabar
collection DOAJ
description In this note, we present a best proximity point theorem for tricyclic contractions in the setting of CAT(0) spaces. In the same context, we give an elaborate counterexample.
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institution Kabale University
issn 2314-4629
2314-4785
language English
publishDate 2020-01-01
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series Journal of Mathematics
spelling doaj-art-4eef1848e72d41248d37239c3e6047172025-02-03T01:01:24ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/95258909525890A New Result on Tricyclic MappingsTaoufik Sabar0Abdelhafid Bassou1Mohamed Aamri2Laboratory of Algebra, Analysis and Applications(L3A), Department of Mathematics and Computer Science, Faculty of Sciences Ben M’Sik, Hassan II University of Casablanca, P. B. 7955 Sidi Othmane, Casablanca, MoroccoLaboratory of Algebra, Analysis and Applications(L3A), Department of Mathematics and Computer Science, Faculty of Sciences Ben M’Sik, Hassan II University of Casablanca, P. B. 7955 Sidi Othmane, Casablanca, MoroccoLaboratory of Algebra, Analysis and Applications(L3A), Department of Mathematics and Computer Science, Faculty of Sciences Ben M’Sik, Hassan II University of Casablanca, P. B. 7955 Sidi Othmane, Casablanca, MoroccoIn this note, we present a best proximity point theorem for tricyclic contractions in the setting of CAT(0) spaces. In the same context, we give an elaborate counterexample.http://dx.doi.org/10.1155/2020/9525890
spellingShingle Taoufik Sabar
Abdelhafid Bassou
Mohamed Aamri
A New Result on Tricyclic Mappings
Journal of Mathematics
title A New Result on Tricyclic Mappings
title_full A New Result on Tricyclic Mappings
title_fullStr A New Result on Tricyclic Mappings
title_full_unstemmed A New Result on Tricyclic Mappings
title_short A New Result on Tricyclic Mappings
title_sort new result on tricyclic mappings
url http://dx.doi.org/10.1155/2020/9525890
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AT abdelhafidbassou anewresultontricyclicmappings
AT mohamedaamri anewresultontricyclicmappings
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AT abdelhafidbassou newresultontricyclicmappings
AT mohamedaamri newresultontricyclicmappings