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

Abdelhamid Moussaoui (), Vesna Todorčević, Mirjana Pantović, Stojan Radenović and Said Melliani
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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

Mathematics, 2023, vol. 11, issue 8, 1-10

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.

Keywords: fuzzy metric spaces; fixed point; fuzzy contraction; simulation functions; binary relation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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