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In this paper, we give a proof of the Hyers-Ulam stability of the Jensenfunctional equation $$f(xy)+f(x\sigma(y))=2f(x),\phantom{+} x,y\in{G},$$ where$G$ is an amenable semigroup and $\sigma$ is an involution of $G.$

Hyers-Ulam stability of Jensen functional equation on amenable semigroups