A Generalized Mazur-Ulam Theorem for Fuzzy Normed Spaces

J. J. Font, J. Galindo, S. Macario and M. Sanchis

Abstract and Applied Analysis, 2014, vol. 2014, 1-4

Abstract:

We introduce fuzzy norm-preserving maps, which generalize the concept of fuzzy isometry. Based on the ideas from Vogt, 1973, and Väisälä, 2003, we provide the following generalized version of the Mazur-Ulam theorem in the fuzzy context: let , be fuzzy normed spaces and let be a fuzzy norm-preserving surjection satisfying . Then is additive.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:624920

DOI: 10.1155/2014/624920

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