Hyers–Ulam stability for a nonlinear iterative equation
Volume 93 / 2002
Colloquium Mathematicum 93 (2002), 1-9
MSC: 39B12, 37E05.
DOI: 10.4064/cm93-1-1
Abstract
We discuss the Hyers–Ulam stability of the nonlinear iterative equation $G(f^{n_1}(x),\ldots ,f^{n_k}(x))=F(x)$. By constructing uniformly convergent sequence of functions we prove that this equation has a unique solution near its approximate solution.
