McShane-Whitney extensions for fuzzy Lipschitz maps

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comunitat-uji-handle:10234/9

comunitat-uji-handle2:10234/8643

comunitat-uji-handle3:10234/8644

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Metadata

Title
McShane-Whitney extensions for fuzzy Lipschitz maps
Author (s)
 Jiménez-Fernández, Eduardo;
 Rodríguez-López, J.;
 Sánchez-Pérez, E.A.
Date
2020-08-10
Publisher
Elsevier; North-Holland; International Fuzzy Systems Association (IFSA)
URI
http://hdl.handle.net/10234/190724
DOI
https://doi.org/10.1016/j.fss.2020.08.001
ISSN
0165-0114
Bibliographic citation
JIMÉNEZ-FERNÁNDEZ, E.; RODRÍGUEZ-LÓPEZ, J.; SÁNCHEZ-PÉREZ, E. A. McShane-Whitney extensions for fuzzy Lipschitz maps. Fuzzy Sets and Systems, 2020.
Type
info:eu-repo/semantics/article
Publisher version
https://www.sciencedirect.com/journal/fuzzy-sets-and-systems
Version
info:eu-repo/semantics/acceptedVersion
Subject
Abstract
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 ... [+]
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. [-]
Investigation project
FEDER/MTM2016-77054-C2-1-P FEDER/PGC2018-095709-B-C21
Rights
©2020 Elsevier B.V. All rights reserved.
info:eu-repo/semantics/openAccess
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Except where otherwise noted, this item's license is described as ©2020 Elsevier B.V. All rights reserved.