On the stability of a pexiderized Goł a ̧ b–Schinzel equation

In this paper we establish the stability of the Pexiderized Goła̧b–Schinzel functional equation f(x+yf(x))=g(x)h(y)f(x+yf(x))=g(x)h(y), under the condition that limt→0h(tx)limt→0h(tx) exists and is non-zero.