On Ulam Stability of a Generalization of the Fréchet Functional Equation on a Restricted Domain

Malejki, Renata

doi:10.1007/978-3-030-28972-0_11

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2020

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…• the Fréchet equation: f (x + y + z) + f (x) + f (y) + f (z) = f (x + y) + f (x + z) + f (y + z). (A generalised version of the Fréchet equation with constant coefficients was studied by Brzdęk et al [8] and Malejki [10]. )…”

Section: Introductionmentioning

confidence: 99%

Hyperstability of Generalised Linear Functional Equations in Several Variables

Phochai

Saejung

2020

Bull. Aust. Math. Soc.

View full text Add to dashboard Cite

Zhang [‘On hyperstability of generalised linear functional equations in several variables’, Bull. Aust. Math. Soc.92 (2015), 259–267] proved a hyperstability result for generalised linear functional equations in several variables by using Brzdęk’s fixed point theorem. We complete and extend Zhang’s result. We illustrate our results for general linear equations in two variables and Fréchet equations.

show abstract

Section: Introductionmentioning

confidence: 99%