On stability and nonstability of systems of functional equations

DOI10.2989/16073606.2020.1728415zbMath1469.39015OpenAlexW3006721791MaRDI QIDQ4992646

Bahman Hayati, Hamid Khodaei, Mahdie Kamyar, Madjid Eshaghi-Gordji

Publication date: 9 June 2021

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2020.1728415

zbMATH Keywords

stabilitysystem of functional equations\(r\)-divisible abelian group

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) Functional inequalities, including subadditivity, convexity, etc. (39B62) Systems of functional equations and inequalities (39B72)

Cites Work

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• Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis
• On the generalized Hyers-Ulam-Rassias stability of quadratic functional equations
• On stability of additive mappings
• The generalized Hyers--Ulam--Rassias stability of a cubic functional equation
• Quadratic functional equation and inner product spaces
• Ulam stability of operators
• Proprieta’ locali e approssimazione di operatori
• On the Behavior of Mappings which do not Satisfy Hyers-Ulam Stability
• An Introduction to Banach Space Theory
• On the asymptoticity aspect of Hyers-Ulam stability of mappings

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