A Generalized Mazur-Ulam Theorem for Fuzzy Normed Spaces
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Other documents of the author: Font, Juan J.; Galindo, Jorge; Macario, Sergio; Sanchis López, Manuel
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comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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Title
A Generalized Mazur-Ulam Theorem for Fuzzy Normed SpacesDate
2014-06-02Publisher
Hindawi Publishing CorporationBibliographic citation
Abstract and Applied Analysis, volume 2014 (2014)Type
info:eu-repo/semantics/articlePublisher version
http://www.hindawi.com/journals/aaa/2014/624920/Version
info:eu-repo/semantics/publishedVersionAbstract
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 ... [+]
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. [-]
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FONT, J. J.; GALINDO, J.; MACARIO, S.; SANCHIS, M. A Generalized Mazur-Ulam Theorem for Fuzzy Normed Spaces. Abstract and Applied Analysis, volume 2014, p. 1-4Rights
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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