2024-03-29T10:09:47Zhttps://repositori.uji.es/oai/requestoai:repositori.uji.es:10234/1198302023-05-10T07:15:59Zcom_10234_7037com_10234_9col_10234_8635
Repositori UJI
author
Font, Juan J.
author
Galindo, Jorge
author
Macario, Sergio
author
Sanchis López, Manuel
2015-05-11T10:06:23Z
2015-05-11T10:06:23Z
2014-06-02
Abstract and Applied Analysis, volume 2014 (2014)
http://hdl.handle.net/10234/119830
http://dx.doi.org/10.1155/2014/624920
We introduce fuzzy norm-preserving maps, which generalize the concept of fuzzy isometry. Based on the ideas from Vogt, 1973,
and V¨ais¨al¨a, 2003, we provide the following generalized version of theMazur-Ulam theorem in the fuzzy context: let 𝑋���, 𝑌��� be fuzzy
normed spaces and let 𝑓��� : 𝑋��� → 𝑌��� be a fuzzy norm-preserving surjection satisfying 𝑓���(0) = 0. Then 𝑓��� is additive.
eng
Fuzzy isometry
Mazur-Ulam theorem
Fuzzy norm-preserving maps
A Generalized Mazur-Ulam Theorem for Fuzzy Normed Spaces
info:eu-repo/semantics/article
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