On An Open Question in Controlled Rectangular b -Metric Spaces

Reny George, Abdelkader Belhenniche, Sfya Benahmed, Zoran D. Mitrović, Nabil Mlaiki and Liliana Guran
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Reny George: Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
Abdelkader Belhenniche: École Nationale Polytechnique d’Oran Maurice Audin, School in Oran, B.P 1523 El M’naouer, Oran 31000, Algeria
Sfya Benahmed: École Nationale Polytechnique d’Oran Maurice Audin, School in Oran, B.P 1523 El M’naouer, Oran 31000, Algeria
Zoran D. Mitrović: Faculty of Electrical Engineering, University of Banja Luka, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina
Nabil Mlaiki: Department of Mathematics and General Sciences, Prince Sultan University Riyadh, Riyadh 11586, Saudi Arabia

Mathematics, 2020, vol. 8, issue 12, 1-11

Abstract: In this paper, we give an affirmative answer to an open question posed recently by Mlaiki et al. As a consequence of our results, we get some known results in the literature. We also give an application of our results to the existence of a solution of nonlinear fractional differential equations.

Keywords: rectangular b-metric spaces; controlled rectangular b-metric spaces; fixed point (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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