On a type of exponential functional equation and its superstability in the sense of Ger

preprint2013arXivOpen access

Abstract

In this paper, we deal with a type exponential functional equation as follows f(xy)=f(x)g(y),f(xy)=f(x)^{g(y)}, where ff and gg are two real valued functions on a commutative semigroup. Our aim of this paper is to proved that the above functional equation in the sense of Ger is superstable.

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