ListarDepartament: Matemàtiques por tema "Mazur-Ulam theorem"
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A Generalized Mazur-Ulam Theorem for Fuzzy Normed Spaces
Hindawi Publishing Corporation (2014-06-02)We introduce fuzzy norm-preserving maps, which generalize the concept of fuzzy isometry. Based on the ideas from Vogt, 1973, and V¨ais¨al¨a, 2003, we provide the following generalized version of theMazur-Ulam theorem in ... -
Mazur-Ulam type theorems for fuzzy normed spaces
International Scientific Research Publications (ISRP) (2017-08)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 ...
