HYPERSTABILITY OF GENERALISED LINEAR FUNCTIONAL EQUATIONS IN SEVERAL VARIABLES
Theerayoot Phochai, Satit Saejung
Abstract
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.
Topics & Concepts
MathematicsLinear equationApplied mathematicsZhàngFixed-point theoremLinear formFunctional equationMathematical analysisDifferential equationLawPolitical scienceChinaFunctional Equations Stability ResultsFixed Point Theorems AnalysisNumerical methods for differential equations