Approximation of the generalized Cauchy-Jensen functional equation in \(C^\ast\)-algebras

DOI10.1186/S13660-018-1824-6zbMath1498.39029OpenAlexW2891461172WikidataQ58745912 ScholiaQ58745912MaRDI QIDQ824766

Chakkrid Klin-eam, Prondanai Kaskasem

Publication date: 15 December 2021

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

Full work available at URL: https://doi.org/10.1186/s13660-018-1824-6

zbMATH Keywords

Hyers-Ulam-Rassias stabilityfixed point theorem\(C^\ast\)-algebrasCauchy-Jensen functional equations

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 (1)

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Cites Work

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• Cauchy-Rassias stability of Cauchy-Jensen additive mappings in Banach spaces
• Stability of the Cauchy-Jensen functional equation in \(C^*\)-algebras: a fixed point approach
• Homomorphisms and derivations in \(C^{\ast}\)-ternary algebras
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• Generalized Hyers-Ulam-Rassias stability of functional inequalities and functional equations
• The Stability of Certain Functional Equations
• On the Stability of the Linear Mapping in Banach Spaces
• A fixed point theorem of the alternative, for contractions on a generalized complete metric space

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