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Hyers-Ulam stability for a nonlinear iterative equation

Bing Xu, Weinian Zhang (2002)

Colloquium Mathematicae

We discuss the Hyers-Ulam stability of the nonlinear iterative equation G ( f n ( x ) , . . . , f n k ( x ) ) = F ( x ) . By constructing uniformly convergent sequence of functions we prove that this equation has a unique solution near its approximate solution.

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