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On Hyperstability of the Cauchy Functional Equation in n-Banach Spaces
Janusz Brzdęk, El-sayed El-hady
Source 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.
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