On the Mazur-Ulam theorem in non-Archimedean fuzzy normed spaces

DOI10.1016/J.AML.2011.09.004zbMath1250.46052OpenAlexW2045891556MaRDI QIDQ427593

In Goo Cho, Heejeong Koh, Dong Seung Kang

Publication date: 14 June 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.09.004

zbMATH Keywords

isometryMazur-Ulam theoremnon-Archimedean fieldfuzzy isometrynon-Archimedean fuzzy normed spaces

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Fuzzy functional analysis (46S40)

Related Items (3)

An introduction to 2-fuzzy \(n\)-normed linear spaces and a new perspective to the Mazur-Ulam problem ⋮ On the Mazur-Ulam theorem in non-Archimedean fuzzy \(n\)-normed spaces ⋮ Rank of interval-valued fuzzy matrices

Cites Work

• Fuzzy topological vector spaces. II
• On the Mazur--Ulam problem in linear 2-normed spaces
• A Mazur--Ulam theorem in non-Archimedean normed spaces
• Linear isometries of finite codimensions on Banach algebras of holomorphic functions
• Stability of additive mappings in non-archimedean fuzzy normed spaces
• Fuzzy \(n\)-normed linear space
• On set-valued nonlinear equations in Menger probabilistic normed spaces
• On the Aleksandrov-Rassias problem and the Hyers-Ulam-Rassias stability problem
• Stability of functional equations in non-Archimedean spaces
• Strange Terrain--Nonarchimedean Spaces
• Isometrics in Non-Archimedean Strictly Convex and Strictly 2-Convex 2-Normed Spaces
• Isometries in Normed Spaces

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