On the Stability of a Generalized Fréchet Functional Equation with Respect to Hyperplanes in the Parameter Space

On the Stability of a Generalized Fréchet Functional Equation with Respect to Hyperplanes in the Parameter Space

We study the Ulam-type stability of a generalization of the Fréchet functional equation. Our aim is to present a method that gives an estimate of the difference between approximate and exact solutions of this equation. The obtained estimate depends on the values of the coefficients of the equation a...

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Bibliographic Details
Main Authors: Janusz Brzdȩk, Zbigniew Leśniak, Renata Malejki
Format: Article
Language:English
Published: MDPI AG 2021-02-01
Series:Symmetry
Subjects:
stability
inner product space
fixed point theorem
Fréchet equation
Online Access:https://www.mdpi.com/2073-8994/13/3/384

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