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Symmetry 2019, 11(1), 18; https://doi.org/10.3390/sym11010018

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

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.
Received: 27 November 2018 / Revised: 19 December 2018 / Accepted: 20 December 2018 / Published: 26 December 2018
Full-Text   |   PDF [278 KB, uploaded 27 December 2018]

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. View Full-Text
Keywords: fixed point; graph theory; rectangular metric-like spaces; G-contraction fixed point; graph theory; rectangular metric-like spaces; G-contraction
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Souayah, N.; Mrad, M. Some Fixed Point Results on Rectangular Metric-Like Spaces Endowed with a Graph. Symmetry 2019, 11, 18.

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