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

Erdal Karapinar; Mujahid Abbas; Sadia Farooq

doi:10.3390/axioms9010019

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

Erdal Karapinar
, Mujahid Abbas
, Sadia Farooq

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

In this paper, we investigate the existence of best proximity points that belong to the zero set for the α_p-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.

Original language	English
Article number	19
Journal	Axioms
Volume	9
Issue number	1
DOIs	https://doi.org/10.3390/axioms9010019
Publication status	Published - 1 Mar 2020
Externally published	Yes

Keywords

G-Proximal graphic contraction
M-metric space
Proximal α-admissible
α-Admissible weak (F
ϕ)-Roximal contraction
ϕ-Best proximity point

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Mathematical Physics
Logic
Geometry and Topology

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10.3390/axioms9010019

Cite this

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title = "A discussion on the existence of best proximity points that belong to the zero set",

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.",

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author = "Erdal Karapinar and Mujahid Abbas and Sadia Farooq",

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T1 - A discussion on the existence of best proximity points that belong to the zero set

AU - Karapinar, Erdal

AU - Abbas, Mujahid

AU - Farooq, Sadia

PY - 2020/3/1

Y1 - 2020/3/1

N2 - 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.

AB - 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.

KW - G-Proximal graphic contraction

KW - M-metric space

KW - Proximal α-admissible

KW - α-Admissible weak (F

KW - ϕ)-Roximal contraction

KW - ϕ-Best proximity point

UR - https://www.scopus.com/pages/publications/85081606868

U2 - 10.3390/axioms9010019

DO - 10.3390/axioms9010019

M3 - Article

AN - SCOPUS:85081606868

SN - 2075-1680

VL - 9

JO - Axioms

JF - Axioms

IS - 1

M1 - 19

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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