Generalized Hyers-Ulam stability of a general mixed additive-cubic functional equation in quasi-Banach spaces

DOI10.1007/S10114-011-9663-0zbMath1258.39016OpenAlexW1985904831MaRDI QIDQ1758008

Wan Xin Xu, John Michael S. Rassias, Tian-Zhou Xu

Publication date: 7 November 2012

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-9663-0

zbMATH Keywords

Hyers-Ulam stabilityadditive mappingcubic mappingquasi-normed space\(p\)-Banach space

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 (13)

Stability of a mixed additive and quadratic functional equation in quasi-Banach spaces ⋮ On the stability of a \(k\)-cubic functional equation in intuitionistic fuzzy \(n\)-normed spaces ⋮ The generalized hyperstability of general linear equation in quasi-2-Banach space ⋮ On the Hyers-Ulam stability of a general mixed additive and cubic functional equation in \(n\)-Banach spaces ⋮ Ulam-Hyers Stability of Functional Equations in Quasi-β-Banach Spaces ⋮ Unnamed Item ⋮ A fixed point approach to the stability of a general mixed AQCQ-functional equation in non-Archimedean normed spaces ⋮ On the stability of a mixed functional equation deriving from additive, quadratic and cubic mappings ⋮ Stability of Euler-Lagrange-type cubic functional equations in quasi-Banach spaces ⋮ General solution and stability of additive-quadratic functional equation in IRN-space ⋮ The generalized hyperstability of general linear equations in quasi-Banach spaces ⋮ Stability of a Jensen type quadratic-additive functional equation under the approximately conditions ⋮ Unnamed Item

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