Ulam stability of an additive-quadratic functional equation in Banach spaces

DOI10.7153/jmi-2020-14-27zbMath1445.39019OpenAlexW3034258663MaRDI QIDQ3304674

In Ho Hwang, Chun-Gil Park

Publication date: 3 August 2020

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2020-14-27

zbMATH Keywords

Hyers-Ulam stabilitydirect methodfixed point methodadditive-quadratic functional equation

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) Functional inequalities, including subadditivity, convexity, etc. (39B62)

Related Items (8)

Set-valued solutions of a functional equation ⋮ Hyers-Ulam stability results for a functional inequality of \((s, t)\)-type in Banach spaces ⋮ Stability of a general functional equation in \(m\)-Banach spaces ⋮ Stability of a new additive functional inequality in Banach spaces ⋮ On perturbations of two general equations in several variables ⋮ On the generalized Hyers-Ulam stability of a functional equation and its consequences ⋮ Ulam stability of functional equations in 2-Banach spaces via the fixed point method ⋮ Hyers-Ulam-Rassias stability of additive mappings in fuzzy normed spaces

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