A Generalized Mazur-Ulam Theorem for Fuzzy Normed Spaces
Joint Authors
Font, J. J.
Galindo, J.
Macario, S.
Sanchis, M.
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-02
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
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 X, Y be fuzzy normed spaces and let f:X→Y be a fuzzy norm-preserving surjection satisfying f(0)=0.
Then f is additive.
American Psychological Association (APA)
Font, J. J.& Galindo, J.& Macario, S.& Sanchis, M.. 2014. A Generalized Mazur-Ulam Theorem for Fuzzy Normed Spaces. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-4.
https://search.emarefa.net/detail/BIM-1014374
Modern Language Association (MLA)
Font, J. J.…[et al.]. A Generalized Mazur-Ulam Theorem for Fuzzy Normed Spaces. Abstract and Applied Analysis No. 2014 (2014), pp.1-4.
https://search.emarefa.net/detail/BIM-1014374
American Medical Association (AMA)
Font, J. J.& Galindo, J.& Macario, S.& Sanchis, M.. A Generalized Mazur-Ulam Theorem for Fuzzy Normed Spaces. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-4.
https://search.emarefa.net/detail/BIM-1014374
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014374
