journal-of-interdisciplinary-mathematics Journal of Interdisciplinary Mathematics 2169-012X 0972-0502 Taru Publications 10.47974/JIM-2315 Relation-theoretic fuzzy metric fixed point results through ℛ-ℱ𝒵-contractions Moussaoui Abdelhamid Laboratory of Applied Mathematics & Scientific Computing, Faculty of Sciences and Technics, Sultan Moulay Slimane University, Beni Mellal, P. O. Box 523, 23000, Morocco Melliani Said Laboratory of Applied Mathematics & Scientific Computing, Faculty of Sciences and Technics, Sultan Moulay Slimane University, Beni Mellal, P. O. Box 523, 23000, Morocco 29 7 2191 2204 10 02 2026

We explore ℛ-ℱ𝒵-contractions in fuzzy metric spaces endowed with a binary relation ℛ, deriving fixed point theorems via fuzzy simulation functions. Illustrative examples and corollaries confirm the validity and applicability of the approach, which extends and refines several existing fixed point results.

 Fixed point Fuzzy metric Binary relation Fuzzy ℛ-ℱ𝒵-contraction Simulation function access open retracted no