Stability of a Cauchy-Jensen functional equation in quasi-Banach spaces

DOI10.1155/2010/151547zbMath1187.39031OpenAlexW2020373042WikidataQ59250267 ScholiaQ59250267MaRDI QIDQ962464

Won-Gil Park, Jae-Hyeong Bae

Publication date: 7 April 2010

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

Full work available at URL: https://eudml.org/doc/224777

zbMATH Keywords

Hyers-Ulam stabilityquasi-Banach spacesCauchy-Jensen 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)

Related Items (3)

A fixed point approach to the stability of a Cauchy-Jensen functional equation ⋮ Generalized stability of Euler-Lagrange quadratic functional equation ⋮ Remarks on the Hyers-Ulam stability of some systems of functional equations

Cites Work

• Unnamed Item
• On a Cauchy-Jensen functional equation and its stability
• On a modified Hyers-Ulam sequence
• A generalization of the Hyers-Ulam-Rassias stability of Jensen's equation
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• On the Hyers-Ulam-Rassias stability of approximately additive mappings
• Stability of a functional equation deriving from quadratic and additive functions in quasi-banach spaces
• On the stability of the linear transformation in Banach spaces
• 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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