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Symmetry
Volume 11
Issue 1
10.3390/sym11010018
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Article

Some Fixed Point Results on Rectangular Metric-Like Spaces Endowed with a Graph

by
Nizar Souayah
1,* and
Mehdi Mrad
2
1
Department of Natural Sciences, Community College Al-Riyadh, King Saud University, Riyadh 4545, Saudi Arabia
2
Department of Industrial Ingeneering, College of Engineering, King Saud University, Riyadh 4545, Saudi Arabia
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(1), 18; https://doi.org/10.3390/sym11010018
Submission received: 27 November 2018 / Revised: 19 December 2018 / Accepted: 20 December 2018 / Published: 26 December 2018
Versions Notes

Abstract

The objective of this paper is to establish the existence and uniqueness of fixed points on rectangular metric-like spaces endowed with a graph. We introduce the notion of some generalized G-contractions principle. The usefulness of the considered metric space in real work is highlighted. The obtained results generalize some notes in the literature. Some examples are presented to support the main results.
Keywords: fixed point; graph theory; rectangular metric-like spaces; G-contraction fixed point; graph theory; rectangular metric-like spaces; G-contraction

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MDPI and ACS Style

Souayah, N.; Mrad, M. Some Fixed Point Results on Rectangular Metric-Like Spaces Endowed with a Graph. Symmetry 2019, 11, 18. https://doi.org/10.3390/sym11010018

AMA Style

Souayah N, Mrad M. Some Fixed Point Results on Rectangular Metric-Like Spaces Endowed with a Graph. Symmetry. 2019; 11(1):18. https://doi.org/10.3390/sym11010018

Chicago/Turabian Style

Souayah, Nizar, and Mehdi Mrad. 2019. "Some Fixed Point Results on Rectangular Metric-Like Spaces Endowed with a Graph" Symmetry 11, no. 1: 18. https://doi.org/10.3390/sym11010018

APA Style

Souayah, N., & Mrad, M. (2019). Some Fixed Point Results on Rectangular Metric-Like Spaces Endowed with a Graph. Symmetry, 11(1), 18. https://doi.org/10.3390/sym11010018

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