Journal
FUZZY SETS AND SYSTEMS
Volume 406, Issue -, Pages 66-81Publisher
ELSEVIER
DOI: 10.1016/j.fss.2020.08.001
Keywords
Fuzzy metric; Fuzzy Lipschitz map; Extension; McShane-Whitney theorem
Funding
- Ministerio de Ciencia, Innovacion y Universidades
- Agencial Estatal de Investigacion
- FEDER [MTM2016-77054-C2-1-P, PGC2018-095709-B-C21]
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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.
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.
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