On the Hyers-Ulam stabilities of functional equations on n-Banach spaces

DOI10.1002/mana.201400345zbMath1354.39019OpenAlexW2236359770MaRDI QIDQ2816983

Jinhae Park, Hahng-Yun Chu, Ahyoung Kim

Publication date: 26 August 2016

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201400345

zbMATH Keywords

generalized Hyers-Ulam stabilityCauchy functional equationJensen functional equationquadratic functional equations\(n\)-Banach spaceCauchy mappings

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (5)

On the Hyers–Ulam stability and hyperstability of a generalized quadratic functional equation in n-Banach spaces ⋮ A fixed point approach to stability of \(k\)-th radical functional equation in non-Archimedean \((n,\beta)\)-Banach spaces ⋮ On approximate homomorphisms of ternary semigroups ⋮ Hyers-Ulam stability of quadratic forms in 2-normed spaces ⋮ A fixed point theorem in \(n\)-Banach spaces and Ulam stability

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