An introduction to 2-fuzzy n-normed linear spaces and a new perspective to the Mazur-Ulam problem
| dc.contributor.author | Park, C | |
| dc.contributor.author | Alaca, C | |
| dc.date.accessioned | 2025-04-10T10:31:16Z | |
| dc.date.available | 2025-04-10T10:31:16Z | |
| 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.identifier.issn | 1029-242X | |
| dc.identifier.uri | http://hdl.handle.net/20.500.14701/37771 | |
| dc.language.iso | English | |
| dc.title | An introduction to 2-fuzzy n-normed linear spaces and a new perspective to the Mazur-Ulam problem | |
| dc.type | Article |