Volume 1, Issue 1 (2026), Pages 17-25
A Fuzzy Counterpart of Suzuki’s Fixed Point Theorem That Involves Fuzzy w-Distances
Author: Salvador Romaguera
Instituto Universitario de Matemática Pura y Aplicada,
Universitat Politècnica de València, 46022 Valencia, Spain
Email: sromague@mat.upv.es
Abstract. In a recent article [Mathematics (2024), 2024:305] it was shown that the renowned Suzuki fixed point theorem [Proc. Amer. Math. Soc. 136 (2008), 1861–1869] cannot be generalized in an obvious and natural way to the setting of w-distances. In contrast to this situation, we here show that our fuzzy counterpart of Suzuki’s theorem [J. Nonlinear Convex Anal. 23 (2024), 1487-1494] admits a full generalization to the framework of fuzzy w-distances.
Keywords: fixed point; fuzzy metric space; fuzzy w-distance; w-Suzuki fuzzy contraction
MSC (2020): 47H10, 54H25, 54A40
Submitted: February 11, 2026 / Accepted: March 18, 2026/ Published: March 24, 2026
How to cite: S. Romaguera, A fuzzy counterpart of Suzuki’s fixed point theorem that involves fuzzy w-distances,
Journal of Advanced Analysis and Applications, 1(1) (2026), 17–25.
This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0). https://creativecommons.org/licenses/by/4.0/