Mappings of conservative distances in linear \(n\)-normed spaces

DOI10.1016/j.na.2008.02.002zbMath1170.46022OpenAlexW2077257591MaRDI QIDQ2518843

Sung Kyu Choi, Hahng-Yun Chu, Dong Seung Kang

Publication date: 20 January 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.02.002

zbMATH Keywords

\(n\)-isometry\(n\)-Lipschitz mappinglinear \(n\)-normed space

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99)

Related Items (12)

The Aleksandrov-Benz-Rassias problem on linear \(n\)-normed spaces ⋮ Mappings of preserving \(n\)-distance one in \(n\)-normed spaces ⋮ On the Aleksandrov-Rassias problems on linear \(n\)-normed spaces ⋮ An introduction to 2-fuzzy \(n\)-normed linear spaces and a new perspective to the Mazur-Ulam problem ⋮ On \(n\)-norm preservers and the Aleksandrov conservative \(n\)-distance problem ⋮ A Mazur-Ulam problem in non-Archimedean \(n\)-normed spaces ⋮ Mazur-Ulam theorem under weaker conditions in the framework of 2-fuzzy 2-normed linear spaces ⋮ GENERALIZATIONS OF ALESANDROV PROBLEM AND MAZUR-ULAM THEOREM FOR TWO-ISOMETRIES AND TWO-EXPANSIVE MAPPINGS ⋮ On the Mazur-Ulam theorem in non-Archimedean fuzzy \(n\)-normed spaces ⋮ A Tingley's type problem in \(n\)-normed spaces ⋮ On the Hyers-Ulam stabilities of functional equations on n-Banach spaces ⋮ A contribution to the Aleksandrov conservative distance problem in two dimensions

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