Hyperstability of cubic functional equation in Banach space

DOI10.1007/s11565-022-00428-3zbMath1526.39013OpenAlexW4289946341WikidataQ113899983 ScholiaQ113899983MaRDI QIDQ6056643

Mohamed Rossafi, Youssef Aribou, Hajira Dimou

Publication date: 30 October 2023

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-022-00428-3

zbMATH Keywords

Banach spacehyperstabilitycubic 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

• Fixed point theory and the Ulam stability
• A fixed point approach to the stability of an \(n\)-dimensional mixed-type additive and quadratic functional equation
• Fixed points and generalized Hyers-Ulam stability
• Applications of fixed point theorems to the Hyers-Ulam stability of functional equations -- a survey
• Hyperstability of the Cauchy equation on restricted domains
• A fixed point approach to stability of functional equations
• Remark on hyperstability of the general linear equation
• Hyperstability of a functional equation
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• A fixed point approach to the stability of differential equations \(y'=F(x,y)\)
• On the Stability of the Linear Mapping in Banach Spaces
• On the Stability of the Linear Functional Equation
• Remarks on the stability of functional equations
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