A discussion on the existence of best proximity points that belong to the zero set

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dc.contributor.author Karapınar, Erdal
dc.contributor.author Abbas, Mujahid
dc.contributor.author Farooq, Sadia
dc.date.accessioned 2021-06-18T12:36:49Z
dc.date.available 2021-06-18T12:36:49Z
dc.date.issued 2020-02
dc.description.abstract In this paper, we investigate the existence of best proximity points that belong to the zero set for the αp-admissible weak (F, ϕ)-proximal contraction in the setting of M-metric spaces. For this purpose, we establish ϕ-best proximity point results for such mappings in the setting of a complete M-metric space. Some examples are also presented to support the concepts and results proved herein. Our results extend, improve and generalize several comparable results on the topic in the related literature. en_ZA
dc.description.department Mathematics and Applied Mathematics en_ZA
dc.description.librarian pm2021 en_ZA
dc.description.uri http://www.mdpi.com/journal/axioms en_ZA
dc.identifier.citation Karapınar, E.; Abbas, M.; Farooq, S. A Discussion on the Existence of Best Proximity Points That Belong to the Zero Set. Axioms 2020, 9, 19. https://doi.org/10.3390/axioms9010019. en_ZA
dc.identifier.issn 2075-1680 (online)
dc.identifier.other 10.3390/axioms9010019
dc.identifier.uri http://hdl.handle.net/2263/80371
dc.language.iso en en_ZA
dc.publisher MDPI en_ZA
dc.rights © 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license. en_ZA
dc.subject M-metric space en_ZA
dc.subject Proximal αp-admissible en_ZA
dc.subject Ap-admissible weak (F, ϕ)-proximal contraction en_ZA
dc.subject G−proximal graphic contraction en_ZA
dc.subject ϕ-best proximity point en_ZA
dc.title A discussion on the existence of best proximity points that belong to the zero set en_ZA
dc.type Article en_ZA


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