On the Stability of an Additive Mapping

DOI10.1007/978-1-4614-3498-6_30zbMath1247.39031OpenAlexW104565923MaRDI QIDQ2905791

Abbas Najati

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_30

zbMATH Keywords

Banach spacesHyers-Ulam stabilityadditive 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)

Cites Work

• 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
• 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
• On the Stability of the Linear Functional Equation
• Stability of functional equations in several variables
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