On approximate cubic homomorphisms

DOI10.1155/2009/618463zbMath1177.39033arXiv0903.1066OpenAlexW2002523941WikidataQ59248295 ScholiaQ59248295MaRDI QIDQ1034145

M. Bavand Savadkouhi, Madjid Eshaghi-Gordji

Publication date: 11 November 2009

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.1066

zbMATH Keywords

Hyers-Ulam-Rassias stabilityBanach algebrassystem of functional equationssuperstability

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 (10)

Approximately Cubic n-Derivations on Non-archimedean Banach Algebras ⋮ On approximate homomorphisms: A fixed point approach ⋮ A functional equation related to inner product spaces in non-Archimedean normed spaces ⋮ Solution and Hyers-Ulam-Rassias stability of generalized mixed type additive-quadratic functional equations in fuzzy Banach spaces ⋮ Quadratic double centralizers and quadratic multipliers ⋮ General cubic-quartic functional equation ⋮ Nearly ternary quadratic higher derivations on non-Archimedean ternary Banach algebras: a fixed point approach ⋮ Solution and stability of generalized mixed type additive and quadratic functional equation in non-Archimedean spaces ⋮ Fixed points and approximately heptic mappings in non-Archimedean normed spaces ⋮ A fixed point method for perturbation of bimultipliers and Jordan bimultipliers in C∗-ternary algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A result of Tosio Aoki about a generalization of Hyers-Ulam stability of additive functions -- a question of priority
• Approximately \(n\)-Jordan homomorphisms on Banach algebras
• On a modified Hyers-Ulam sequence
• The problem of S. M. Ulam for approximately multiplicative mappings
• On the stability of functional equations and a problem of Ulam
• On the Hyers-Ulam stability of \(\psi\)-additive mappings
• The generalized Hyers--Ulam--Rassias stability of a cubic functional equation
• On approximate ring homomorphisms
• Comments on the core of the direct method for proving Hyers-Ulam stability of functional equations
• The space of (𝜓,𝛾)–additive mappings on semigroups
• The Stability of the Equation f(x + y) = f(x)f(y)
• On the Stability of the Linear Mapping in Banach Spaces
• Classes of transformations and bordering transformations
• On the Stability of the Linear Functional Equation
• Approximate homomorphisms
• Stability of functional equations in several variables
• Hyers-Ulam-Rassias stability of homomorphisms in quasi-Banach algebras

This page was built for publication: On approximate cubic homomorphisms