Generalized Hyers-Ulam stability of the additive functional equation

DOI10.3390/axioms8020076zbMath1432.39024OpenAlexW2955127992MaRDI QIDQ2306357

Gwang Hui Kim, Yang-Hi Lee

Publication date: 23 March 2020

Published in: Axioms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/axioms8020076

zbMATH Keywords

Hyers-Ulam stabilitygeneralized Hyers-Ulam stabilityhyperstabilityadditive mappingadditive (Cauchy) 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)

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Stability of additive-quadratic 3D functional equation in modular spaces by direct method

Cites Work

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• Remarks on hyperstability of the Cauchy functional equation
• On stability of additive mappings
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• Approximately isometric and multiplicative transformations on continuous function rings
• On the stability of the linear transformation in Banach spaces
• On the Behavior of Mappings which do not Satisfy Hyers-Ulam Stability
• On the Stability of the Linear Mapping in Banach Spaces
• A HYPERSTABILITY RESULT FOR THE CAUCHY EQUATION

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