Best Proximity Point Theorems on Rectangular Metric Spaces Endowed with a Graph

In this paper, we ensure the existence and uniqueness of a best proximity point in rectangular metric spaces endowed with a graph structure.

Bibliographic Details
Main Authors: Nizar Souayah, Hassen Aydi, Thabet Abdeljawad, Nabil Mlaiki
Format: Article
Language:English
Published: MDPI AG 2019-02-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/8/1/17
_version_ 1818450828311134208
author Nizar Souayah
Hassen Aydi
Thabet Abdeljawad
Nabil Mlaiki
author_facet Nizar Souayah
Hassen Aydi
Thabet Abdeljawad
Nabil Mlaiki
author_sort Nizar Souayah
collection DOAJ
description In this paper, we ensure the existence and uniqueness of a best proximity point in rectangular metric spaces endowed with a graph structure.
first_indexed 2024-12-14T20:57:30Z
format Article
id doaj.art-7625725e0bdb4b60b993e429b6d70077
institution Directory Open Access Journal
issn 2075-1680
language English
last_indexed 2024-12-14T20:57:30Z
publishDate 2019-02-01
publisher MDPI AG
record_format Article
series Axioms
spelling doaj.art-7625725e0bdb4b60b993e429b6d700772022-12-21T22:47:39ZengMDPI AGAxioms2075-16802019-02-01811710.3390/axioms8010017axioms8010017Best Proximity Point Theorems on Rectangular Metric Spaces Endowed with a GraphNizar Souayah0Hassen Aydi1Thabet Abdeljawad2Nabil Mlaiki3Department of Natural Sciences, Community College Al-Riyadh, King Saud University, Riyadh 4545, Saudi ArabiaDepartment of Mathematics, College of Education in Jubail, Imam Abdulrahman Bin Faisal University, P.O. Box 12020, Industrial Jubail 31961, Saudi ArabiaDepartment of Mathematics and General Sciences, Prince Sultan University, Riyadh 11586, Saudi ArabiaDepartment of Mathematics and General Sciences, Prince Sultan University, Riyadh 11586, Saudi ArabiaIn this paper, we ensure the existence and uniqueness of a best proximity point in rectangular metric spaces endowed with a graph structure.https://www.mdpi.com/2075-1680/8/1/17proximity pointrectangular metric<i>G</i>-contractiongraph
spellingShingle Nizar Souayah
Hassen Aydi
Thabet Abdeljawad
Nabil Mlaiki
Best Proximity Point Theorems on Rectangular Metric Spaces Endowed with a Graph
Axioms
proximity point
rectangular metric
<i>G</i>-contraction
graph
title Best Proximity Point Theorems on Rectangular Metric Spaces Endowed with a Graph
title_full Best Proximity Point Theorems on Rectangular Metric Spaces Endowed with a Graph
title_fullStr Best Proximity Point Theorems on Rectangular Metric Spaces Endowed with a Graph
title_full_unstemmed Best Proximity Point Theorems on Rectangular Metric Spaces Endowed with a Graph
title_short Best Proximity Point Theorems on Rectangular Metric Spaces Endowed with a Graph
title_sort best proximity point theorems on rectangular metric spaces endowed with a graph
topic proximity point
rectangular metric
<i>G</i>-contraction
graph
url https://www.mdpi.com/2075-1680/8/1/17
work_keys_str_mv AT nizarsouayah bestproximitypointtheoremsonrectangularmetricspacesendowedwithagraph
AT hassenaydi bestproximitypointtheoremsonrectangularmetricspacesendowedwithagraph
AT thabetabdeljawad bestproximitypointtheoremsonrectangularmetricspacesendowedwithagraph
AT nabilmlaiki bestproximitypointtheoremsonrectangularmetricspacesendowedwithagraph