Generalized Hyers–Ulam Stability of Cauchy–Jensen Functional Equations

DOI10.1007/978-1-4614-3498-6_20zbMath1248.39036OpenAlexW2175575253MaRDI QIDQ2905781

Eunyoung Son, Kil-Woung Jun, Hark-Mahn Kim

Publication date: 28 August 2012

Published in: Springer Optimization and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-3498-6_20

zbMATH Keywords

Cauchy-Jensen functional equationgeneralized Hyers-Ulam stability\(n\)-divisible abelian group

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 (2)

Hyperstability of Cauchy-Jensen functional equations ⋮ Non-Archimedean hyperstability of Cauchy-Jensen functional equations on a restricted domain

Cites Work

• Unnamed Item
• 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
• Generalized Hyers-Ulam-Rassias stability of functional inequalities and functional equations
• On the Behavior of Mappings which do not Satisfy Hyers-Ulam Stability
• On the Stability of the Linear Mapping in Banach Spaces
• On the Stability of the Linear Functional Equation

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