A revised and extended version of McShane-Whitney extensions for fuzzy Lipschitz maps
Eduardo Jim\'enez-Fern\'andez, Jes\'us Rodr\'iguez-L\'opez, Aurora S\'anchez-Mart\'in-Orozco, Enrique A. S\'anchez-P\'erez

Abstract
In the paper [E. Jim\'enez-Fern\'andez, J. Rodr\'{\i}guez-L\'opez, E. A. S\'anchez-P\'erez, 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 However, while the function is only required to be increasing, some results of the paper implicitly assume that is invertible, even though this is not explicitly stated. We propose here an alternative possibility that only requires to be also left-continuous.
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