박춘길
2018-03-15T08:55:06Z
2018-03-15T08:55:06Z
2012-01
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012, P.1-17, P.17
1029-242X
https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/1029-242X-2012-14
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.
en
SPRINGER INTERNATIONAL PUBLISHING AG
Mazur-Ulam theorem
alpha-n-norm
2-fuzzy n-normed linear spaces
n-isometry
n-Lipschitz mapping
An introduction to 2-fuzzy n-normed linear spaces and a new perspective to the Mazur-Ulam problem
Article
10.1186/1029-242X-2012-14
1-17
JOURNAL OF INEQUALITIES AND APPLICATIONS
Park, Choon-kil
Alaca, Cihangir
2012214734
S
COLLEGE OF NATURAL SCIENCES[S]
DEPARTMENT OF MATHEMATICS
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