HYPERSTABILITY OF GENERALISED LINEAR FUNCTIONAL EQUATIONS IN SEVERAL VARIABLES

摘要

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 Brzdek's fixed point theorem. We complete and extend Zhang's result. We illustrate our results for general linear equations in two variables and Frechet equations.