Best Proximity Point Theorems for Cyclic Contractions Mappings in Banach Algebras

In this paper, we present some new best proximity point theorems for three operators acting in Banach algebras. An application is given to show the usefulness and the applicability of the obtained results.

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Main Authors: K. Chaira, S. Chaira, S. Lazaiz
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2020/8889508
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author K. Chaira
S. Chaira
S. Lazaiz
author_facet K. Chaira
S. Chaira
S. Lazaiz
author_sort K. Chaira
collection DOAJ
description In this paper, we present some new best proximity point theorems for three operators acting in Banach algebras. An application is given to show the usefulness and the applicability of the obtained results.
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issn 2314-8896
2314-8888
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publishDate 2020-01-01
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series Journal of Function Spaces
spelling doaj-art-eba587f3d7b74d2380b922f985258c222025-08-20T02:22:21ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/88895088889508Best Proximity Point Theorems for Cyclic Contractions Mappings in Banach AlgebrasK. Chaira0S. Chaira1S. Lazaiz2L3A Laboratory, Department of Mathematics and Computer Sciences, Faculty of Sciences Ben M'sik, University of Hassan II Casablanca, MoroccoLaboratory of Mathematics and Applications, Faculty of Sciences and Technologies, Mohammedia, University Hassan II Casablanca, MoroccoLASMA Laboratory, Department of Mathematics, Faculty of Sciences Dhar El Mahraz, University Sidi Mohamed Ben Abdellah, Fes, MoroccoIn this paper, we present some new best proximity point theorems for three operators acting in Banach algebras. An application is given to show the usefulness and the applicability of the obtained results.http://dx.doi.org/10.1155/2020/8889508
spellingShingle K. Chaira
S. Chaira
S. Lazaiz
Best Proximity Point Theorems for Cyclic Contractions Mappings in Banach Algebras
Journal of Function Spaces
title Best Proximity Point Theorems for Cyclic Contractions Mappings in Banach Algebras
title_full Best Proximity Point Theorems for Cyclic Contractions Mappings in Banach Algebras
title_fullStr Best Proximity Point Theorems for Cyclic Contractions Mappings in Banach Algebras
title_full_unstemmed Best Proximity Point Theorems for Cyclic Contractions Mappings in Banach Algebras
title_short Best Proximity Point Theorems for Cyclic Contractions Mappings in Banach Algebras
title_sort best proximity point theorems for cyclic contractions mappings in banach algebras
url http://dx.doi.org/10.1155/2020/8889508
work_keys_str_mv AT kchaira bestproximitypointtheoremsforcycliccontractionsmappingsinbanachalgebras
AT schaira bestproximitypointtheoremsforcycliccontractionsmappingsinbanachalgebras
AT slazaiz bestproximitypointtheoremsforcycliccontractionsmappingsinbanachalgebras