Completeness of <i>b</i>−Metric Spaces and Best Proximity Points of Nonself Quasi-Contractions

The aims of this article are twofold. One is to prove some results regarding the existence of best proximity points of multivalued non-self quasi-contractions of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mro...

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Autores principales:	Arshad Ali Khan, Basit Ali
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	completeness quasi-contraction best proximity points <i>b</i>−metric non-self mappings Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/4eadd1b7a56b489bab7cb5206491531a
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spelling	oai:doaj.org-article:4eadd1b7a56b489bab7cb5206491531a2021-11-25T19:07:35ZCompleteness of <i>b</i>−Metric Spaces and Best Proximity Points of Nonself Quasi-Contractions10.3390/sym131122062073-8994https://doaj.org/article/4eadd1b7a56b489bab7cb5206491531a2021-11-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/2206https://doaj.org/toc/2073-8994The aims of this article are twofold. One is to prove some results regarding the existence of best proximity points of multivalued non-self quasi-contractions of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>b</mi><mo>−</mo></mrow></semantics></math></inline-formula>metric spaces (which are symmetric spaces) and the other is to obtain a characterization of completeness of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>b</mi><mo>−</mo></mrow></semantics></math></inline-formula>metric spaces via the existence of best proximity points of non-self quasi-contractions. Further, we pose some questions related to the findings in the paper. An example is provided to illustrate the main result. The results obtained herein improve some well known results in the literature.Arshad Ali KhanBasit AliMDPI AGarticlecompletenessquasi-contractionbest proximity points<i>b</i>−metricnon-self mappingsMathematicsQA1-939ENSymmetry, Vol 13, Iss 2206, p 2206 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	completeness quasi-contraction best proximity points <i>b</i>−metric non-self mappings Mathematics QA1-939
spellingShingle	completeness quasi-contraction best proximity points <i>b</i>−metric non-self mappings Mathematics QA1-939 Arshad Ali Khan Basit Ali Completeness of <i>b</i>−Metric Spaces and Best Proximity Points of Nonself Quasi-Contractions
description	The aims of this article are twofold. One is to prove some results regarding the existence of best proximity points of multivalued non-self quasi-contractions of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>b</mi><mo>−</mo></mrow></semantics></math></inline-formula>metric spaces (which are symmetric spaces) and the other is to obtain a characterization of completeness of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>b</mi><mo>−</mo></mrow></semantics></math></inline-formula>metric spaces via the existence of best proximity points of non-self quasi-contractions. Further, we pose some questions related to the findings in the paper. An example is provided to illustrate the main result. The results obtained herein improve some well known results in the literature.
format	article
author	Arshad Ali Khan Basit Ali
author_facet	Arshad Ali Khan Basit Ali
author_sort	Arshad Ali Khan
title	Completeness of <i>b</i>−Metric Spaces and Best Proximity Points of Nonself Quasi-Contractions
title_short	Completeness of <i>b</i>−Metric Spaces and Best Proximity Points of Nonself Quasi-Contractions
title_full	Completeness of <i>b</i>−Metric Spaces and Best Proximity Points of Nonself Quasi-Contractions
title_fullStr	Completeness of <i>b</i>−Metric Spaces and Best Proximity Points of Nonself Quasi-Contractions
title_full_unstemmed	Completeness of <i>b</i>−Metric Spaces and Best Proximity Points of Nonself Quasi-Contractions
title_sort	completeness of <i>b</i>−metric spaces and best proximity points of nonself quasi-contractions
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/4eadd1b7a56b489bab7cb5206491531a
work_keys_str_mv	AT arshadalikhan completenessofibimetricspacesandbestproximitypointsofnonselfquasicontractions AT basitali completenessofibimetricspacesandbestproximitypointsofnonselfquasicontractions
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Completeness of <i>b</i>−Metric Spaces and Best Proximity Points of Nonself Quasi-Contractions

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