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.
Main Authors: | , , , |
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Format: | Article |
Language: | English |
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MDPI AG
2019-02-01
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Series: | Axioms |
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Online Access: | https://www.mdpi.com/2075-1680/8/1/17 |
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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 |