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Fixed Point Results via G -Transitive Binary Relation and Fuzzy L - R -Contraction

Author

Listed:
  • Abdelhamid Moussaoui

    (Laboratory of Applied Mathematics & Scientific Computing LMACS, Faculty of Sciences and Technics, Sultan Moulay Slimane University, P.O. Box 523, Beni Mellal 23000, Morocco)

  • Vesna Todorčević

    (Department of Mathematics, Faculty of Organizational Sciences, University of Belgrade, Jove Ilića 154, 11000 Belgrade, Serbia)

  • Mirjana Pantović

    (Department of Mathematics and Informatics, Faculty of Science, University of Kragujevac, 34000 Kragujevac, Serbia)

  • Stojan Radenović

    (Faculty of Mechanical Engineering, University of Belgrade, 11000 Belgrade, Serbia)

  • Said Melliani

    (Laboratory of Applied Mathematics & Scientific Computing LMACS, Faculty of Sciences and Technics, Sultan Moulay Slimane University, P.O. Box 523, Beni Mellal 23000, Morocco)

Abstract

In this study, we initiate the concept of fuzzy L - R -contraction and establish some fixed point results involving a G -transitive binary relation and fuzzy L -simulation functions, by employing suitable hypotheses on a fuzzy metric space endowed with a binary relation. The presented results unify, generalize, and improve various previous findings in the literature.

Suggested Citation

  • Abdelhamid Moussaoui & Vesna Todorčević & Mirjana Pantović & Stojan Radenović & Said Melliani, 2023. "Fixed Point Results via G -Transitive Binary Relation and Fuzzy L - R -Contraction," Mathematics, MDPI, vol. 11(8), pages 1-10, April.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:8:p:1768-:d:1118267
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    References listed on IDEAS

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    1. Abdelhamid Moussaoui & Nawab Hussain & Said Melliani & Naeem Saleem, 2021. "Global Optimal Solutions for Proximal Fuzzy Contractions Involving Control Functions," Journal of Mathematics, Hindawi, vol. 2021, pages 1-10, June.
    2. Seong-Hoon Cho, 2018. "Fixed Point Theorems for - Contractions in Generalized Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2018, pages 1-6, December.
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