Mazur-Ulam theorem under weaker conditions in the framework of 2-fuzzy 2-normed linear spaces

DOI10.1186/1029-242X-2013-78zbMath1296.46061OpenAlexW2108282132WikidataQ59293889 ScholiaQ59293889MaRDI QIDQ395765

Cihangir Alaca, Chun-Gil Park

Publication date: 30 January 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-2013-78

zbMATH Keywords

Mazur-Ulam theorem\(\alpha\)-2-norm2-fuzzy 2-normed linear spaces2-isometry

Mathematics Subject Classification ID

Isometric theory of Banach spaces (46B04) Length, area and volume in real or complex geometry (51M25) Fuzzy functional analysis (46S40)

Related Items (1)

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

Cites Work

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• Lineare 2‐normierte Räume
• Untersuchungen über verallgemeinerte m‐metrische Räume. I
• Isometries in Normed Spaces
• Mappings of conservative distances and the Mazur-Ulam theorem
• On the generalizations of the Mazur-Ulam isometric theorem

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