On the Mazur-Ulam problem in non-Archimedean fuzzy 2-normed spaces

DOI10.1186/1029-242X-2013-507zbMath1302.46064OpenAlexW2158341429WikidataQ59295088 ScholiaQ59295088MaRDI QIDQ2250366

Heejeong Koh, Dong Seung Kang

Publication date: 7 July 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2013-507

zbMATH Keywords

isometryMazur-Ulam theoremnon-Archimedean fieldnon-Archimedean fuzzy normed spacesfuzzy 2-isometry

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10) Non-Archimedean valued fields (12J25) Fuzzy functional analysis (46S40)

Related Items (1)

On the stability of a \(k\)-cubic functional equation in intuitionistic fuzzy \(n\)-normed spaces

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
• Stability of additive mappings in non-archimedean fuzzy normed spaces
• Fuzzy \(n\)-normed linear space
• Strange Terrain--Nonarchimedean Spaces
• Lineare 2‐normierte Räume
• Untersuchungen über verallgemeinerte m‐metrische Räume. I
• Isometries in Normed Spaces

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