Hyperstability of the general linear equation on restricted domains

DOI10.1007/S10474-016-0609-YzbMath1389.39050OpenAlexW2341026088MaRDI QIDQ1677510

Abbas Najati, Daryoush Molaei

Publication date: 10 November 2017

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-016-0609-y

zbMATH Keywords

hyperstabilitygeneralized Cauchy functional equation

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Stability, separation, extension, and related topics for functional equations (39B82) Functional inequalities, including subadditivity, convexity, etc. (39B62) Perturbations of nonlinear operators (47H14)

Related Items (9)

Hyperstability of a logarithmic-type functional equation on restricted domains ⋮ On the Stability of Mixed Additive--Quadratic and Additive--Drygas Functional Equations ⋮ Asymptotic aspect of Drygas, quadratic and Jensen functional equations in metric abelian groups ⋮ Hyperstability of the general linear equation on restricted domains ⋮ Some hyperstability and stability results for the Cauchy and Jensen equations ⋮ Hyperstability of a Linear Functional Equation on Restricted Domains ⋮ Stability of some functional equations on bounded domains ⋮ Stability of a monomial functional equation on restricted domains of Lebesgue measure zero ⋮ Local stability of mappings on multi-normed spaces

Cites Work

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• A fixed point approach to stability of functional equations
• Remark on hyperstability of the general linear equation
• Hyperstability of the general linear equation on restricted domains
• Remarks on stability of some inhomogeneous functional equations
• Hyperstability of the Jensen functional equation
• Approximately isometric and multiplicative transformations on continuous function rings
• On the Stability of the Linear Functional Equation

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