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On Hyperstability of the Cauchy Functional Equation in n-Banach Spaces
Journal article   Open access  Peer reviewed

On Hyperstability of the Cauchy Functional Equation in n-Banach Spaces

Janusz Brzdek and El-sayed El-hady
Mathematics (Basel), Vol.8(11), pp.1-12
01/11/2020
DOI: https://doi.org/10.3390/math8111886

Abstract

Mathematics Physical Sciences Science & Technology
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.
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https://doi.org/10.3390/math8111886View
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