Abstract
Recently, Dong (Aequ Math 86:269–277, 2013) has proved the generalized stability of the functional equation \({\|f(x + y)\| = \|f(x) + f(y)\|}\) under the assumption that X, the domain of f, is an Abelian group. In this paper, we prove a generalization of this result by removing the commutativity assumption of X.
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