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 | 2025-04-10T11:14:35Z | |
| dc.date.available | 2025-04-10T11:14:35Z | |
| dc.date.issued | 2012 | |
| 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 nnormed linear space or ℑ(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. © 2012 Park and Alaca. | |
| dc.identifier.DOI-ID | 10.1186/1029-242X-2012-14 | |
| dc.identifier.uri | http://hdl.handle.net/20.500.14701/50332 | |
| dc.title | An introduction to 2-fuzzy n-normed linear spaces and a new perspective to the mazur-ulam problem | |
| dc.type | Article |