Ulam's stability of a generalization of the Fréchet functional equation

DOI10.1016/j.jmaa.2016.04.074zbMath1339.39023OpenAlexW2345451635MaRDI QIDQ294108

Anna Bahyrycz, Renata Malejki, Eliza Jabłońska, Janusz Brzdȩk

Publication date: 9 June 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.04.074

zbMATH Keywords

stabilityfixed point theoremcharacterization of inner product spacesFréchet functional equationhyperstability

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) 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)

Related Items (10)

Arithmetically homogeneous functions: characterizations, stability and hyperstability ⋮ On the generalized Fréchet functional equation with constant coefficients and its stability ⋮ Well-posedness and stability for fuzzy fractional differential equations ⋮ Equivalence for various forms of quadratic functional equations and their generalized Hyers-Ulam-Rassias stability ⋮ HYPERSTABILITY OF GENERALISED LINEAR FUNCTIONAL EQUATIONS IN SEVERAL VARIABLES ⋮ On Ulam Stability of a Generalization of the Fréchet Functional Equation on a Restricted Domain ⋮ Approximate Solutions of an Additive-Quadratic-Quartic (AQQ) Functional Equation ⋮ Approximate solution of generalized inhomogeneous radical quadratic functional equations in 2-Banach spaces ⋮ Different types of Hyers-Ulam-Rassias stabilities for a class of integro-differential equations ⋮ Ulam stability of a quadratic-type functional equation in 3 variables in the quasi-Banach space

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