An introduction to 2-fuzzy n-normed linear spaces and a new perspective to the Mazur-Ulam problem
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Park, Choonkil | - |
dc.contributor.author | Alaca, Cihangir | - |
dc.date.accessioned | 2022-07-16T17:08:10Z | - |
dc.date.available | 2022-07-16T17:08:10Z | - |
dc.date.created | 2021-05-12 | - |
dc.date.issued | 2012-01 | - |
dc.identifier.issn | 1025-5834 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/166546 | - |
dc.description.abstract | The 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.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | SPRINGER INTERNATIONAL PUBLISHING AG | - |
dc.title | An introduction to 2-fuzzy n-normed linear spaces and a new perspective to the Mazur-Ulam problem | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, Choonkil | - |
dc.identifier.doi | 10.1186/1029-242X-2012-14 | - |
dc.identifier.scopusid | 2-s2.0-84870491903 | - |
dc.identifier.wosid | 000300775000001 | - |
dc.identifier.bibliographicCitation | JOURNAL OF INEQUALITIES AND APPLICATIONS, pp.1 - 17 | - |
dc.relation.isPartOf | JOURNAL OF INEQUALITIES AND APPLICATIONS | - |
dc.citation.title | JOURNAL OF INEQUALITIES AND APPLICATIONS | - |
dc.citation.startPage | 1 | - |
dc.citation.endPage | 17 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | CONSERVATIVE DISTANCES | - |
dc.subject.keywordPlus | THEOREM | - |
dc.subject.keywordPlus | MAPPINGS | - |
dc.subject.keywordAuthor | Mazur-Ulam theorem | - |
dc.subject.keywordAuthor | alpha-n-norm | - |
dc.subject.keywordAuthor | 2-fuzzy n-normed linear spaces | - |
dc.subject.keywordAuthor | n-isometry | - |
dc.subject.keywordAuthor | n-Lipschitz mapping | - |
dc.identifier.url | https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/1029-242X-2012-14 | - |
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