On the Hyers-Ulam stability of an equation characterizing multi-quadratic mappings

DOI10.1016/S0252-9602(15)30014-XzbMath1340.39038MaRDI QIDQ902366

Krzysztof Ciepliński, Angelika Surowczyk

Publication date: 15 January 2016

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

Banach spacesdirect methodnon-Archimedean normed spaces(generalized) Hyers-Ulam stabilityJordana-von Neumann functional equationmulti-quadratic mapping

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (7)

On Hyers-Ulam stability of two functional equations in non-Archimedean spaces ⋮ On a fixed point theorem in 2-Banach spaces and some of its applications ⋮ Stability of a general functional equation in \(m\)-Banach spaces ⋮ Approximate Solutions of an Additive-Quadratic-Quartic (AQQ) Functional Equation ⋮ On an equation characterizing multi-Jensen-quadratic mappings and its Hyers-Ulam stability via a fixed point method ⋮ Ulam stability of functional equations in 2-Banach spaces via the fixed point method ⋮ ON APPROXIMATELY ADDITIVE MAPPINGS IN 2-BANACH SPACES

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