On Some New Results in Graphical Rectangular b -Metric Spaces

Pravin Baradol, Jelena Vujaković, Dhananjay Gopal and Stojan Radenović
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Pravin Baradol: Department of Mathematics and Humanities, S. V. National Institute of Technology, Surat 395 007, Gujarat, India
Jelena Vujaković: Department of Mathematics, Faculty of Sciences, University in Priština-Kosovska Mitrovica, 38220 Kosovska Mitrovica, Serbia
Dhananjay Gopal: Department of Mathematics and Humanities, S. V. National Institute of Technology, Surat 395 007, Gujarat, India
Stojan Radenović: Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam

Mathematics, 2020, vol. 8, issue 4, 1-17

Abstract: 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).

Keywords: graphical rectangular b-metric space; Banach G-contraction; Edelstein G-contraction; Meir–Keeler G-contraction; Reich G-contraction (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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