On approximate additive-quartic and quadratic-cubic functional equations in two variables on Abelian groups

DOI10.1007/s00025-010-0018-4zbMath1203.39016OpenAlexW2000837408MaRDI QIDQ708725

Madjid Eshaghi-Gordji, Abbas Najati, Ali Ebadian

Publication date: 14 October 2010

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-010-0018-4

zbMATH Keywords

systemsHyers-Ulam-Rassias stabilityquadratic functional equationquintic functional equationquartic functional equationcubic functional 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) Systems of functional equations and inequalities (39B72)

Related Items (21)

Non-Archimedean Hyers-Ulam-Rassias stability of m-variable functional equation ⋮ A functional equation related to inner product spaces in non-Archimedean normed spaces ⋮ A functional equation related to inner product spaces in non-Archimedean \(\mathcal L\)-random normed spaces ⋮ Fixed points and approximately octic mappings in non-Archimedean 2-normed spaces ⋮ A fixed point approach to almost double derivations and Lie \(*\)-double derivations ⋮ On the stability of a parametric additive functional equation in quasi-Banach spaces ⋮ Solution and Hyers-Ulam-Rassias stability of generalized mixed type additive-quadratic functional equations in fuzzy Banach spaces ⋮ Approximately ternary homomorphisms and derivations on \(C^\ast\)-ternary algebras ⋮ Stability and superstability of ternary homomorphisms and ternary derivations on ternary quasi-Banach algebras ⋮ 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 ⋮ On the Hyers–Ulam–Rassias Approximately Ternary Cubic Higher Derivations ⋮ Fixed points and approximately heptic mappings in non-Archimedean normed spaces ⋮ Fixed points and quartic functional equations in \(\beta\)-Banach modules ⋮ Superstability of an exponential equation in \(C^*\)-algebras ⋮ On the stability of left δ-centralizers on Banach Lie triple systems ⋮ Unnamed Item ⋮ Approximately quintic and sextic mappings form \(r\)-divisible groups into Šerstnev probabilistic Banach spaces: fixed point method ⋮ Approximately ternary homomorphisms on \(C^*\)-ternary algebras ⋮ A fixed point method for perturbation of bimultipliers and Jordan bimultipliers in C∗-ternary algebras ⋮ STABILITY OF BI-θ-DERIVATIONS ON JB*-TRIPLES

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solution and stability of generalized mixed type cubic, quadratic and additive functional equation in quasi-Banach spaces
• A fixed point approach to stability of a quadratic equation
• On the stability of the orthogonally quartic functional equation
• A fixed point approach to the stability of a generalized Cauchy functional equation
• On the stability of a cubic functional equation
• On the stability of an \(n\)-dimensional functional equation originating from quadratic forms
• Asymptotic aspect of the quadratic functional equation in multi-normed spaces
• Solution and stability of a mixed type additive, quadratic, and cubic functional equation
• On stability of additive mappings
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• On the Hyers-Ulam stability of \(\psi\)-additive mappings
• The generalized Hyers--Ulam--Rassias stability of a cubic functional equation
• Quadratic functional equation and inner product spaces
• On the stability of a quartic functional equation
• On a bi-quadratic functional equation and its stability
• A generalized cubic functional equation
• On the stability of the linear transformation in Banach spaces
• STABILITY OF A QUADRATIC FUNCTIONAL EQUATION IN QUASI-BANACH SPACES
• Stability of functional equations in non-Archimedean spaces
• Proprieta’ locali e approssimazione di operatori
• On the Behavior of Mappings which do not Satisfy Hyers-Ulam Stability
• On the Stability of the Linear Mapping in Banach Spaces
• Stability of a Mixed Type Additive, Quadratic, Cubic and Quartic Functional Equation
• HYERS-ULAM-RASSIAS STABILITY OF A CUBIC FUNCTIONAL EQUATION
• On the orthogonal stability of the pexiderized quadratic equation
• On the Stability of the Linear Functional Equation
• Remarks on the stability of functional equations
• Stability of functional equations in several variables
• Stability of the quadratic equation of Pexider type
• On the stability of the quadratic mapping in normed spaces

This page was built for publication: On approximate additive-quartic and quadratic-cubic functional equations in two variables on Abelian groups