A NOTE ON THE GENERALISED HYPERSTABILITY OF THE GENERAL LINEAR EQUATION

DOI10.1017/S0004972717000569zbMath1376.39010OpenAlexW2746697477MaRDI QIDQ5369404

Wutiphol Sintunavarat, Laddawan Aiemsomboon

Publication date: 17 October 2017

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972717000569

zbMATH Keywords

fixed pointnormed spacesgeneral linear equationgeneralised hyperstability

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 (11)

Stability of a mixed additive and quadratic functional equation in quasi-Banach spaces ⋮ The generalized hyperstability of general linear equation in quasi-2-Banach space ⋮ On new approximations for generalized Cauchy functional equations using Brzdęk and Ciepliński's fixed point theorems in 2-Banach spaces ⋮ Equivalence for various forms of quadratic functional equations and their generalized Hyers-Ulam-Rassias stability ⋮ Ulam-Hyers Stability of Functional Equations in Quasi-β-Banach Spaces ⋮ On perturbations of two general equations in several variables ⋮ The generalized hyperstability of general linear equations in quasi-Banach spaces ⋮ Ulam stability of functional equations in 2-Banach spaces via the fixed point method ⋮ Approximate solution of generalized inhomogeneous radical quadratic functional equations in 2-Banach spaces ⋮ On a new stability problem of radical \(n\)th-degree functional equation by Brzdęk's fixed-point method ⋮ Ulam stability of a quadratic-type functional equation in 3 variables in the quasi-Banach space

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• HYPERSTABILITY OF THE GENERAL LINEAR FUNCTIONAL EQUATION
• On the Stability of the Linear Mapping in Banach Spaces
• Stability of functional equations in several variables

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