An introduction to 2-fuzzy n-normed linear spaces and a new perspective to the Mazur-Ulam problem

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dc.contributor.authorPark, C
dc.contributor.authorAlaca, C
dc.date.accessioned2024-07-18T11:53:38Z
dc.date.available2024-07-18T11:53:38Z
dc.description.abstractThe purpose of this article is to introduce the concept of 2-fuzzy n-normed linear space or fuzzy n-normed linear space of the set of all fuzzy sets of a non-empty set. We define the concepts of n-isometry, n-collinearity n-Lipschitz mapping in this space. Also, we generalize the Mazur-Ulam theorem, that is, when X is a 2-fuzzy n-normed linear space or a(X) is a fuzzy n-normed linear space, the Mazur-Ulam theorem holds. Moreover, it is shown that each n-isometry in 2-fuzzy n-normed linear spaces is affine. Mathematics Subject Classification (2010): 03E72; 46B20; 51M25; 46B04; 46S40.
dc.identifier.issn1029-242X
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/5769
dc.language.isoEnglish
dc.publisherSPRINGER INTERNATIONAL PUBLISHING AG
dc.subjectCONSERVATIVE DISTANCES
dc.subjectTHEOREM
dc.subjectMAPPINGS
dc.titleAn introduction to 2-fuzzy n-normed linear spaces and a new perspective to the Mazur-Ulam problem
dc.typeArticle

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