THE STABILITY OF ADDITIVE (<i>α</i>, <i>β</i>)-FUNCTIONAL EQUATIONS

DOI10.11948/20190075zbMath1462.39022OpenAlexW3020579939MaRDI QIDQ5859459

Yuanfeng Jin, Gang Lu, Ziying Lu, Chun-Gil Park

Publication date: 16 April 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/20190075

zbMATH Keywords

Hyers-Ulam stabilitydirect methodfixed point methodnon-Archimedean Banach spaceadditive \((\alpha,\beta)\)-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

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• Hyers-Ulam stability of additive set-valued functional equations
• On stability of additive mappings
• New stability results for the radical sextic functional equation related to quadratic mappings in \((2,\beta )\)-Banach spaces
• Stability of a quartic functional equation
• Stability of \(\Psi\)-additive mappings: Applications to nonlinear analysis
• Hyers-Ulam stability of general Jensen-type mappings in Banach algebras
• 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
• On the stability of the additive Cauchy functional equation in random normed spaces

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