Generalized Hyers–Ulam stability of an Euler–Lagrange type additive mapping

DOI10.1080/10236190600986925zbMath1114.39011OpenAlexW2058926341MaRDI QIDQ3429320

J. Park, Chun-Gil Park

Publication date: 30 March 2007

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190600986925

zbMATH Keywords

functional equationisomorphismBanach module\(C^{*}\)-algebra

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) General theory of (C^*)-algebras (46L05) Linear operators on Banach algebras (47B48) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (13)

Classification and Stability of Functional Equations ⋮ Orthogonally Additive: Additive Functional Equation ⋮ Orthogonality and quintic functional equations ⋮ Orthogonal stability of an additive-quadratic functional equation ⋮ Orthogonally additive-additive and orthogonally quadratic-quadratic functional equation in orthogonality spaces ⋮ Stability of a generalized quadratic functional equation in various spaces: a fixed point alternative approach ⋮ Approximation of linear mappings in Banach modules over \(C^\ast \)-algebras ⋮ Stability problem of Ulam for Euler-Lagrange quadratic mappings ⋮ The stability of a quadratic functional equation with the fixed point alternative ⋮ Stability of a generalized Euler-Lagrange type additive mapping and homomorphisms in \(C^{\ast}\)-algebras ⋮ ORTHOGONALLY ADDITIVE AND ORTHOGONALLY QUADRATIC FUNCTIONAL EQUATION ⋮ ADDITIVE-QUARTIC FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN ORTHOGONALITY SPACES ⋮ FUNCTIONAL EQUATIONS IN ORTHOGONALITY SPACES

Cites Work

• Unnamed Item
• Solution of a problem of Ulam
• On approximation of approximately linear mappings by linear mappings
• On stability of additive mappings
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• On the Hyers-Ulam-Rassias stability of approximately additive mappings
• A characterization of Hyers-Ulam stability of first order linear differential operators.
• Hyers--Ulam--Rassias stability of quadratic functional equations in Banach modules over a \(C^{\ast}\)-algebra
• On the stability of functional equations and a problem of Ulam
• Homomorphisms between Poisson JC*-algebras
• Ulam stability problem for quadratic mappings of Euler--Lagrange
• On the stability of the linear mapping in Banach modules
• The Hyers--Ulam stability constants of first order linear differential operators
• Stability of \(\Psi\)-additive mappings: Applications to nonlinear analysis
• On the generalized \(A\)-quadratic mappings associated with the variance of a discrete-type distribution
• On the stability of \(J^*\)-homomorphisms
• A generalized cubic functional equation
• Proprieta’ locali e approssimazione di operatori
• On the asymptoticity aspect of Hyers-Ulam stability of mappings
• Stability of the Cauchy functional equation in quasi-Banach spaces
• On the orthogonal stability of the pexiderized quadratic equation
• On the Stability of the Linear Functional Equation
• Approximate homomorphisms
• Stability of functional equations in several variables
• On the stability of the quadratic mapping in normed spaces

This page was built for publication: Generalized Hyers–Ulam stability of an Euler–Lagrange type additive mapping