On the stability of the linear functional equation in a single variable on complete metric groups
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In this paper we obtain a result on Hyers–Ulam stability of the linear functional equation in a single variable \(f(\varphi (x)) = g(x) \cdot f(x)\) on a complete metric group.
KeywordsOptimization Stability Functional equation Complete metric group Inequalities Banach spaces Operator mapping Euler–Mascheroni constant
Mathematics Subject Classification33B15 11B34 41A30 39B22
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