McShane-Whitney extensions for fuzzy Lipschitz maps

We present a McShane-Whitney extension theorem for real-valued fuzzy Lipschitz maps defined between fuzzy metric spaces. Motivated by the potential applications of the obtained results, we generalize the mathematical theory of extensions of Lipschitz maps to the fuzzy context. We develop the problem in its full generality, explaining the similarities and differences with the classical case of extensions on metric spaces. (C) 2020 Elsevier B.V. All rights reserved.

Automated summary

This article presents a McShane-Whitney extension theorem for real-valued fuzzy Lipschitz maps defined between fuzzy metric spaces. By generalizing the mathematical theory of extensions of Lipschitz maps to the fuzzy context, the similarities and differences with the classical case of extensions on metric spaces are explained.