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New Versions of Some Results on Fixed Points in b -Metric Spaces

Author

Listed:
  • Zoran D. Mitrović

    (Faculty of Electrical Engineering, University of Banja Luka, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina)

  • Abasalt Bodaghi

    (Department of Mathematics, Garmsar Branch, Islamic Azad University, Garmsar, Iran)

  • Ahmad Aloqaily

    (Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
    School of Computer, Data and Mathematical Sciences, Western Sydney University, Sydney 2150, Australia)

  • Nabil Mlaiki

    (Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia)

  • Reny George

    (Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia)

Abstract

The main and the most important objective of this paper is to nominate some new versions of several well-known results about fixed-point theorems such as Caristi’s theorem, Pant et al.’s theorem and Karapınar et al.’s theorem in the case of b -metric spaces. We use a new technique provided by Miculescu and Mihail in order to prove our theorems. Some illustrative applications and examples are given to strengthen our new findings and the main results.

Suggested Citation

  • Zoran D. Mitrović & Abasalt Bodaghi & Ahmad Aloqaily & Nabil Mlaiki & Reny George, 2023. "New Versions of Some Results on Fixed Points in b -Metric Spaces," Mathematics, MDPI, vol. 11(5), pages 1-9, February.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:5:p:1118-:d:1078114
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    References listed on IDEAS

    as
    1. Biljana Carić & Tatjana Došenović & Reny George & Zoran D. Mitrović & Stojan Radenović, 2021. "On Jungck–Branciari–Wardowski Type Fixed Point Results," Mathematics, MDPI, vol. 9(2), pages 1-11, January.
    2. Erdal Karapınar & Farshid Khojasteh & Zoran D. Mitrović, 2019. "A Proposal for Revisiting Banach and Caristi Type Theorems in b -Metric Spaces," Mathematics, MDPI, vol. 7(4), pages 1-4, March.
    3. Gerald Jungck, 1986. "Compatible mappings and common fixed points," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 9, pages 1-9, January.
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