A best proximity point theorem for special generalized proximal β-quasi contractive mappings

Abstract In this paper, we obtain some best proximity point results for a new class of non-self mappings T:A⟶B $T:A \longrightarrow B$ called special generalized proximal β-quasi contractive. Our result is illustrated by an example. Several consequences are derived.

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Autores principales: M. Iadh Ayari, M. M. M. Jaradat, Z. Mustafa
Formato: article
Lenguaje:EN
Publicado: SpringerOpen 2019
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Acceso en línea:https://doaj.org/article/f1af3d8301eb4ff3bafce448dc54cdf9
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spelling oai:doaj.org-article:f1af3d8301eb4ff3bafce448dc54cdf92021-12-02T12:29:06ZA best proximity point theorem for special generalized proximal β-quasi contractive mappings10.1186/s13663-019-0667-21687-1812https://doaj.org/article/f1af3d8301eb4ff3bafce448dc54cdf92019-12-01T00:00:00Zhttps://doi.org/10.1186/s13663-019-0667-2https://doaj.org/toc/1687-1812Abstract In this paper, we obtain some best proximity point results for a new class of non-self mappings T:A⟶B $T:A \longrightarrow B$ called special generalized proximal β-quasi contractive. Our result is illustrated by an example. Several consequences are derived.M. Iadh AyariM. M. M. JaradatZ. MustafaSpringerOpenarticleBest proximity pointsSpecial generalized proximal β-quasi contractive mappingsApplied mathematics. Quantitative methodsT57-57.97AnalysisQA299.6-433ENFixed Point Theory and Applications, Vol 2019, Iss 1, Pp 1-10 (2019)
institution DOAJ
collection DOAJ
language EN
topic Best proximity points
Special generalized proximal β-quasi contractive mappings
Applied mathematics. Quantitative methods
T57-57.97
Analysis
QA299.6-433
spellingShingle Best proximity points
Special generalized proximal β-quasi contractive mappings
Applied mathematics. Quantitative methods
T57-57.97
Analysis
QA299.6-433
M. Iadh Ayari
M. M. M. Jaradat
Z. Mustafa
A best proximity point theorem for special generalized proximal β-quasi contractive mappings
description Abstract In this paper, we obtain some best proximity point results for a new class of non-self mappings T:A⟶B $T:A \longrightarrow B$ called special generalized proximal β-quasi contractive. Our result is illustrated by an example. Several consequences are derived.
format article
author M. Iadh Ayari
M. M. M. Jaradat
Z. Mustafa
author_facet M. Iadh Ayari
M. M. M. Jaradat
Z. Mustafa
author_sort M. Iadh Ayari
title A best proximity point theorem for special generalized proximal β-quasi contractive mappings
title_short A best proximity point theorem for special generalized proximal β-quasi contractive mappings
title_full A best proximity point theorem for special generalized proximal β-quasi contractive mappings
title_fullStr A best proximity point theorem for special generalized proximal β-quasi contractive mappings
title_full_unstemmed A best proximity point theorem for special generalized proximal β-quasi contractive mappings
title_sort best proximity point theorem for special generalized proximal β-quasi contractive mappings
publisher SpringerOpen
publishDate 2019
url https://doaj.org/article/f1af3d8301eb4ff3bafce448dc54cdf9
work_keys_str_mv AT miadhayari abestproximitypointtheoremforspecialgeneralizedproximalbquasicontractivemappings
AT mmmjaradat abestproximitypointtheoremforspecialgeneralizedproximalbquasicontractivemappings
AT zmustafa abestproximitypointtheoremforspecialgeneralizedproximalbquasicontractivemappings
AT miadhayari bestproximitypointtheoremforspecialgeneralizedproximalbquasicontractivemappings
AT mmmjaradat bestproximitypointtheoremforspecialgeneralizedproximalbquasicontractivemappings
AT zmustafa bestproximitypointtheoremforspecialgeneralizedproximalbquasicontractivemappings
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