Title of article
Mazur-Ulam type theorems for fuzzy normed spaces
Author/Authors
Font ، J. J. - Universitat Jaume I , Galindo ، J. - Universitat Jaume I , Macario ، S. - Universitat Jaume I , Sanchis ، M. - Universitat Jaume I
Pages
8
From page
4499
To page
4506
Abstract
In this paper, we provide Mazur-Ulam type results for (not necessarily surjective) maps preserving equality of fuzzy distance defined between two fuzzy normed spaces. Our main goal is to study the additivity of such generalizations of fuzzy isometries. As in the classical case, the fuzzy strict convexity of the target space will play an important role.
Keywords
Mazur , Ulam theorem , fuzzy normed spaces , strict convexity
Journal title
Journal of Nonlinear Science and Applications
Serial Year
2017
Journal title
Journal of Nonlinear Science and Applications
Record number
2476818
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