Abstract
We investigate the stability of the functional equation
on amenable semigroups. This equation is a common generalization of two Pexider equations stemming from Cauchy’s additive and multiplicative functional equations, and it is a simple case of the Levi-Civita equation.
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Dedicated to Professor János Aczél on his 90th Birthday
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Badora, R., Przebieracz, B. & Volkmann, P. Stability of generalized Cauchy equations. Aequat. Math. 89, 49–56 (2015). https://doi.org/10.1007/s00010-014-0300-8
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DOI: https://doi.org/10.1007/s00010-014-0300-8