Mazur-Ulam type theorems for fuzzy normed spaces
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2021
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Authors
J. J. Font
- Departament de Matemàtiques, and Institut Universitari de Matemàtiques i Aplicacions de Castelló (IMAC), Universitat Jaume I, Campus del Riu Sec. s/n, 12071 Castelló, Spain.
J. Galindo
- Departament de Matemàtiques, and Institut Universitari de Matemàtiques i Aplicacions de Castelló (IMAC), Universitat Jaume I, Campus del Riu Sec. s/n, 12071 Castelló, Spain.
S. Macario
- Departament de Matemàtiques, and Institut Universitari de Matemàtiques i Aplicacions de Castelló (IMAC), Universitat Jaume I, Campus del Riu Sec. s/n, 12071 Castelló, Spain.
M. Sanchis
- Departament de Matemàtiques, and Institut Universitari de Matemàtiques i Aplicacions de Castelló (IMAC), Universitat Jaume I, Campus del Riu Sec. s/n, 12071 Castelló, Spain.
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.
Share and Cite
ISRP Style
J. J. Font, J. Galindo, S. Macario, M. Sanchis, Mazur-Ulam type theorems for fuzzy normed spaces, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 8, 4499--4506
AMA Style
Font J. J., Galindo J., Macario S., Sanchis M., Mazur-Ulam type theorems for fuzzy normed spaces. J. Nonlinear Sci. Appl. (2017); 10(8):4499--4506
Chicago/Turabian Style
Font, J. J., Galindo, J., Macario, S., Sanchis, M.. "Mazur-Ulam type theorems for fuzzy normed spaces." Journal of Nonlinear Sciences and Applications, 10, no. 8 (2017): 4499--4506
Keywords
- Mazur-Ulam theorem
- fuzzy normed spaces
- strict convexity.
MSC
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