A Purely Fixed Point Approach to the Ulam-Hyers Stability and Hyperstability of a General Functional Equation

DOI10.1007/978-3-030-28972-0_2zbMath1448.39044OpenAlexW2982509095MaRDI QIDQ5120018

Lahbib Oubbi, Chaimaa Benzarouala

Publication date: 9 September 2020

Published in: Ulam Type Stability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-28972-0_2

zbMATH Keywords

functional equationHyers-Ulam stabilityfixed point theoremhyperstability

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52) Perturbations of nonlinear operators (47H14)

Related Items (2)

On Ulam stability of the inhomogeneous version of the general linear functional equation ⋮ A fixed point theorem and Ulam stability of a general linear functional equation in random normed spaces

Cites Work

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• On the stability of the generalized cubic set-valued functional equation
• FIXED POINT CHARACTERISATION FOR EXACT AND AMENABLE ACTION
• On the Stability of the Linear Mapping in Banach Spaces
• Stability of quartic functional equations in 2-Banach space
• Extended Hyers–Ulam stability for Cauchy–Jensen mappings†
• On stability of the general linear equation
• On the stability of the quadratic mapping in normed spaces

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