On the stability of the linear functional equation in a single variable on complete metric groups

preprint2015arXivOpen access

In this paper we obtain a result on Hyers-Ulam stability of the linear functional equation in a single variable $f(φ(x)) = g(x) \cdot f(x)$ on a complete metric group.

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On the stability of the linear functional equation in a single variable on complete metric groups

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