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Open AccessArticle

On Some New Results in Graphical Rectangular b-Metric Spaces

1
Department of Mathematics and Humanities, S. V. National Institute of Technology, Surat 395 007, Gujarat, India
2
Department of Mathematics, Faculty of Sciences, University in Priština-Kosovska Mitrovica, 38220 Kosovska Mitrovica, Serbia
3
Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam
4
Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam
*
Authors to whom correspondence should be addressed.
Mathematics 2020, 8(4), 488; https://doi.org/10.3390/math8040488
Received: 24 February 2020 / Revised: 22 March 2020 / Accepted: 27 March 2020 / Published: 1 April 2020
(This article belongs to the Special Issue Quantum Algebras and Operator Theory)
In this paper, we provide an approach to establish the Banach contraction principle (for the case λ [ 0 , 1 ) ) , Edelstein, Reich, and Meir–Keeler type contractions in the context of graphical rectangular b-metric space. The obtained results not only enrich and improve recent fixed point theorems of this new metric spaces but also provide positive answers to the questions raised by Mudasir Younis et al. (J. Fixed Point Theory Appl., doi:10.1007/s11784-019-0673-3, 2019). View Full-Text
Keywords: graphical rectangular b-metric space; Banach G-contraction; Edelstein G-contraction; Meir–Keeler G-contraction; Reich G-contraction graphical rectangular b-metric space; Banach G-contraction; Edelstein G-contraction; Meir–Keeler G-contraction; Reich G-contraction
MDPI and ACS Style

Baradol, P.; Vujaković, J.; Gopal, D.; Radenović, S. On Some New Results in Graphical Rectangular b-Metric Spaces. Mathematics 2020, 8, 488.

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