On Hyperstability of the Cauchy Functional Equation in n-Banach Spaces
Janusz Brzdȩk, El‐sayed El‐hady
Abstract
We present some hyperstability results for the well-known additive Cauchy functional equation f(x+y)=f(x)+f(y) in n-normed spaces, which correspond to several analogous outcomes proved for some other spaces. The main tool is a recent fixed-point theorem.
Topics & Concepts
MathematicsBanach spaceCauchy distributionFixed-point theoremFunctional equationPure mathematicsFunctional analysisMathematical analysisDifferential equationGeneChemistryBiochemistryFunctional Equations Stability ResultsFixed Point Theorems AnalysisNonlinear Differential Equations Analysis