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A Generalized Mazur-Ulam Theorem for Fuzzy Normed Spaces

dc.contributor.authorFont, Juan J.
dc.contributor.authorGalindo, Jorge
dc.contributor.authorMacario, Sergio
dc.contributor.authorSanchis López, Manuel
dc.date.accessioned2015-05-11T10:06:23Z
dc.date.available2015-05-11T10:06:23Z
dc.date.issued2014-06-02
dc.identifier.citationAbstract and Applied Analysis, volume 2014 (2014)ca_CA
dc.identifier.urihttp://hdl.handle.net/10234/119830
dc.description.abstractWe 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.ca_CA
dc.format.extent4 p.ca_CA
dc.format.mimetypeapplication/pdfca_CA
dc.language.isoengca_CA
dc.publisherHindawi Publishing Corporationca_CA
dc.relation.isPartOfFONT, J. J.; GALINDO, J.; MACARIO, S.; SANCHIS, M. A Generalized Mazur-Ulam Theorem for Fuzzy Normed Spaces. Abstract and Applied Analysis, volume 2014, p. 1-4ca_CA
dc.rights.urihttp://rightsstatements.org/vocab/CNE/1.0/*
dc.subjectFuzzy isometryca_CA
dc.subjectMazur-Ulam theoremca_CA
dc.subjectFuzzy norm-preserving mapsca_CA
dc.titleA Generalized Mazur-Ulam Theorem for Fuzzy Normed Spacesca_CA
dc.typeinfo:eu-repo/semantics/articleca_CA
dc.identifier.doihttp://dx.doi.org/10.1155/2014/624920
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca_CA
dc.relation.publisherVersionhttp://www.hindawi.com/journals/aaa/2014/624920/ca_CA
dc.type.versioninfo:eu-repo/semantics/publishedVersion


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