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On An Open Question in Controlled Rectangular b -Metric Spaces

Author

Listed:
  • Reny George

    (Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
    Department of Mathematics and Computer Science, St. Thomas College, Bhilai, Chhattisgarh 491022, India)

  • Abdelkader Belhenniche

    (École Nationale Polytechnique d’Oran Maurice Audin, School in Oran, B.P 1523 El M’naouer, Oran 31000, Algeria
    SYSTEC—Research Center for Systems and Technologies, Department of Electrical Engineering, Faculty of Engineering, Porto University, 4200-465 Porto, Portugal)

  • 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)

  • Liliana Guran

    (Department of Pharmaceutical Sciences, Faculty of Pharmacy, Vasile Goldiş Western University Arad, L. Rebreanu Street, no. 86, 310048 Arad, Romania)

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.

Suggested Citation

  • Reny George & Abdelkader Belhenniche & Sfya Benahmed & Zoran D. Mitrović & Nabil Mlaiki & Liliana Guran, 2020. "On An Open Question in Controlled Rectangular b -Metric Spaces," Mathematics, MDPI, vol. 8(12), pages 1-11, December.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:12:p:2239-:d:464317
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