A revised and extended version of McShane-Whitney extensions for fuzzy Lipschitz maps

Jiménez Fernández, Eduardo; Rodríguez López, Jesús; Sánchez Martín-Orozco, Aurora; Sánchez Pérez, Enrique Alfonso

doi:10.1016/j.fss.2025.109731

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Identificadores

URI: https://hdl.handle.net/10481/108925

DOI: 10.1016/j.fss.2025.109731

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Editorial

Elsevier

Materia

Fuzzy metric

Fuzzy Lipschitz map

Extension

Fecha

2025-12-17

Referencia bibliográfica

Jiménez-Fernández, E., Rodríguez-López, J., Sánchez-Martín-Orozco, A., & Sánchez-Pérez, E. A. (2025). A revised and extended version of McShane-Whitney extensions for fuzzy Lipschitz maps. Fuzzy Sets and Systems, 109731, 109731. https://doi.org/10.1016/j.fss.2025.109731

Resumen

In the paper [E. Jiménez-Fernández, J. Rodríguez-López, E. A. Sánchez Pérez, Fuzzy Sets and Systems 406 (2021),66-81], a McShane-Whitney extension theorem is presented for real-valued fuzzy Lipschitz maps between fuzzy metric spaces. Specifically, the codomain space is considered as a so called Euclidean fuzzy metric space (R, Mϕ,g, ∗). However, while the function ϕ is only required to be increasing, some results of the paper implicitly assume that ϕ is invertible, even though this is not explicitly stated. We propose here an alternative possibility that only requires ϕ to be also left-continuous.

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