On Ulam stability of a functional equation

DOI10.1007/s00025-020-01275-4zbMath1451.39024OpenAlexW3088872027MaRDI QIDQ2210808

Krzysztof Ciepliński

Publication date: 8 November 2020

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-020-01275-4

zbMATH Keywords

functional equationsystem of functional equationsUlam stabilitymulti-linear mapping

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) Systems of functional equations and inequalities (39B72)

Related Items (12)

Equalities and inequalities for several variables mappings ⋮ On a general \(n\)-linear functional equation ⋮ Multi-quadratic mappings with an involution ⋮ Ulam stability of Jensen functional inequality on a class of noncommutative groups ⋮ Approximation of two general functional equations in 2-Banach spaces ⋮ Stability of a general functional equation in \(m\)-Banach spaces ⋮ On the existence of \(m\)-norms in vector spaces over valued fields ⋮ The structure of multimixed quadratic-cubic mappings and an application of fixed point theory ⋮ On perturbations of two general equations in several variables ⋮ On the generalized Hyers-Ulam stability of a functional equation and its consequences ⋮ Ulam stability of functional equations in 2-Banach spaces via the fixed point method ⋮ Characterization, stability and hyperstability of multi-quadratic-cubic mappings

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