Best Proximity Point Theorems on Rectangular Metric Spaces Endowed with a Graph
1
Department of Natural Sciences, Community College Al-Riyadh, King Saud University, Riyadh 4545, Saudi Arabia
2
Ecole Supérieure des Sciences Economiques et Commerciales de Tunis, University of Tunis, Montfleury, Tunis 1089, Tunisia
3
Department of Mathematics, College of Education in Jubail, Imam Abdulrahman Bin Faisal University, P.O. Box 12020, Industrial Jubail 31961, Saudi Arabia
4
Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
*
Author to whom correspondence should be addressed.
†
These authors contributed equally to this work.
Axioms 2019, 8(1), 17; https://doi.org/10.3390/axioms8010017
Received: 3 January 2019 / Revised: 23 January 2019 / Accepted: 28 January 2019 / Published: 1 February 2019
(This article belongs to the Special Issue Fixed Point Theory and Related Topics)
In this paper, we ensure the existence and uniqueness of a best proximity point in rectangular metric spaces endowed with a graph structure.
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Keywords:
proximity point; rectangular metric; G-contraction; graph
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MDPI and ACS Style
Souayah, N.; Aydi, H.; Abdeljawad, T.; Mlaiki, N. Best Proximity Point Theorems on Rectangular Metric Spaces Endowed with a Graph. Axioms 2019, 8, 17. https://doi.org/10.3390/axioms8010017
AMA Style
Souayah N, Aydi H, Abdeljawad T, Mlaiki N. Best Proximity Point Theorems on Rectangular Metric Spaces Endowed with a Graph. Axioms. 2019; 8(1):17. https://doi.org/10.3390/axioms8010017
Chicago/Turabian StyleSouayah, Nizar; Aydi, Hassen; Abdeljawad, Thabet; Mlaiki, Nabil. 2019. "Best Proximity Point Theorems on Rectangular Metric Spaces Endowed with a Graph" Axioms 8, no. 1: 17. https://doi.org/10.3390/axioms8010017
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