Hyers-Ulam-Rassias and Ulam-Gavruta-Rassias stabilities of an additive functional equation in several variables

DOI10.1155/2007/13437zbMath1148.39027OpenAlexW2046922410MaRDI QIDQ925426

Paisan Nakmahachalasint

Publication date: 3 June 2008

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/54656

zbMATH Keywords

Hyers-Ulam stability

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 (12)

Stability and common stability for the systems of linear equations and its applications ⋮ Stability of an additive functional equation in the spaces of generalized functions ⋮ Ulam stability of a generalized reciprocal type functional equation in non-Archimedean fields ⋮ Stability and superstability of generalized \((\theta, \phi)\)-derivations in non-Archimedean algebras: fixed point theorem via the additive Cauchy functional equation ⋮ Stabilities of cubic mappings in various normed spaces: direct and fixed point methods ⋮ Approximate \(n\)-Lie homomorphisms and Jordan \(n\)-Lie homomorphisms on \(n\)-Lie algebras ⋮ Stability of a composite functional equation related to idempotent mappings ⋮ Semi-Inner Products and Parapreseminorms on Groups and a Generalization of a Theorem of Maksa and Volkmann on Additive Functions ⋮ Fourier Transforms and Ulam Stabilities of Linear Differential Equations ⋮ Stabilities of cubic mappings in fuzzy normed spaces ⋮ On the stability of a pexiderized Gołąb-Schinzel equation ⋮ Homomorphisms and derivations in \(C^{\ast}\)-ternary algebras

Cites Work

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• On a Cauchy-Jensen functional equation and its stability
• On the generalized Ulam-Gavruta-Rassias stability of mixed-type linear and Euler-Lagrange-Rassias functional equations
• Solution of a problem of Ulam
• On approximation of approximately linear mappings by linear mappings
• Hyers--Ulam--Rassias stability of a generalized Pexider functional equation
• Stability problem of Ulam for generalized forms of Cauchy functional equation
• On the Stability of the Linear Mapping in Banach Spaces
• Hyers-Ulam-Rassias stability of Jensen’s equation and its application
• On the Stability of the Linear Functional Equation

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