Remarks on the stability of Drygas' equation and the Pexider-quadratic equation

DOI10.1007/S00010-003-2722-6zbMath1056.39038OpenAlexW1552892605MaRDI QIDQ1884757

Dilian Yang

Publication date: 5 November 2004

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-003-2722-6

zbMATH Keywords

stabilityHyers-Ulam stabilityquadratic functional equationnon abelian groupsDrygas' equationPexider-quadratic equation

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 (26)

Ultrametric approximations of a Drygas functional equation ⋮ On the Drygas functional equation in restricted domains ⋮ On the hyperstability of \(\sigma\)-Drygas functional equation on semigroups ⋮ On a direct method for proving the Hyers-Ulam stability of functional equations ⋮ A generalization of Drygas functional equation ⋮ Approximate Drygas mappings on a set of measure zero ⋮ Hyperstability of the Drygas functional equation ⋮ Asymptotic aspect of Drygas, quadratic and Jensen functional equations in metric abelian groups ⋮ Variations on the Drygas equation and its stability ⋮ A Fixed Point Approach to Stability of the Quadratic Equation ⋮ Generalized hyperstability of a Drygas functional equation on a restricted domain using Brzdȩk's fixed point theorem ⋮ The application of Brzdek's fixed point theorem in the stability problem of the Drygas functional equation ⋮ A new hyperstability result for the multi-Drygas equation via the Brzdȩk's fixed point approach ⋮ Measure Zero Stability Problem for Drygas Functional Equation with Complex Involution ⋮ General solutions of two quadratic functional equations of Pexider type on orthogonal vectors ⋮ Unnamed Item ⋮ TWO NEW GENERALISED HYPERSTABILITY RESULTS FOR THE DRYGAS FUNCTIONAL EQUATION ⋮ A fixed points approach to stability of the Pexider equation ⋮ On Hyers-Ulam-Rassias stability of functional equations ⋮ Stability of the Drygas functional equation on restricted domain ⋮ Stability of functional equations and properties of groups ⋮ On approximate solution of Drygas functional equation according to the Lipschitz criteria ⋮ Stability of a generalized quadratic functional equation in Schwartz distributions ⋮ On the Stability of Drygas Functional Equation on Amenable Semigroups ⋮ Stability of Quadratic and Drygas Functional Equations, with an Application for Solving an Alternative Quadratic Equation ⋮ On the Generalized Hyers–Ulam Stability of the Pexider Equation on Restricted Domains

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