A revised and extended version of McShane-Whitney extensions for fuzzy Lipschitz maps
[EN] 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...
| Authors: | , , , |
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| Format: | article |
| Publication Date: | 2026 |
| Country: | España |
| Institution: | Universitat Politècnica de València (UPV) |
| Repository: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Language: | English |
| OAI Identifier: | oai:riunet.upv.es:10251/232564 |
| Online Access: | https://riunet.upv.es/handle/10251/232564 |
| Access Level: | Open access |
| Keyword: | Fuzzy metric Fuzzy Lipschitz map Extension McShane-Whitney theorem |
| Summary: | [EN] 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, M ¿,g,*). 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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