STABILITY OF THE SOLUTION OF THE ITERATED EQUATION∑i=1nλif(x)=F(x)*

Abstract This note is a further work of discussion on the iterated equation λ 1 f ( x ) + λ 2 f 2 ( x ) + ⋯ λ n f n ( x ) = F ( x ) following the author's conclusions of the existence and uniqueness of this equation. In this note we prove that the sufficient condition of the stability of the solution is the same one as the uniqueness of the solution (see [4]).