Mazur-Ulam type theorems for fuzzy normed spaces
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Títol
Mazur-Ulam type theorems for fuzzy normed spacesData de publicació
2017-08Editor
International Scientific Research Publications (ISRP)Cita bibliogràfica
FONT, J. J., et al. Mazur-Ulam type theorems for fuzzy normed spaces. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, vol. 10, no 8, p. 4499-4506.Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://www.isr-publications.com/jnsa/articles-5401-mazur-ulam-type-theorems-for- ...Versió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
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 ... [+]
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. [-]
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