The hyperstability of general linear equation via that of Cauchy equation

DOI10.1007/S00010-018-0619-7zbMath1417.39085OpenAlexW2901216477MaRDI QIDQ2316021

Satit Saejung, Theerayoot Phochai

Publication date: 26 July 2019

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

Full work available at URL: https://doi.org/10.1007/s00010-018-0619-7

zbMATH Keywords

Cauchy equationhyperstabilitygeneral linear equation

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Stability, separation, extension, and related topics for functional equations (39B82) Functional inequalities, including subadditivity, convexity, etc. (39B62) Perturbations of nonlinear operators (47H14)

Related Items (4)

On Ulam stability of the inhomogeneous version of the general linear functional equation ⋮ HYPERSTABILITY OF GENERALISED LINEAR FUNCTIONAL EQUATIONS IN SEVERAL VARIABLES ⋮ On perturbations of two general equations in several variables ⋮ On Ulam stability of a functional equation

Cites Work

• Hyperstability of general linear functional equation
• Hyperstability of the Cauchy equation on restricted domains
• A fixed point approach to stability of functional equations
• On stability and hyperstability of an equation characterizing multi-Cauchy-Jensen mappings
• Remark on hyperstability of the general linear equation
• On Jensen's functional equation
• Jensen's functional equation on groups
• Remarks on stability of some inhomogeneous functional equations
• HYPERSTABILITY OF THE GENERAL LINEAR FUNCTIONAL EQUATION
• On stability and hyperstability of an equation characterizing multi-additive mappings

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