Hyers–Ulam stability for a nonlinear iterative equation

Bing Xu, Weinian Zhang
2002 Colloquium Mathematicum  
We discuss the Hyers-Ulam stability of the nonlinear iterative equation . By constructing uniformly convergent sequence of functions we prove that this equation has a unique solution near its approximate solution.
doi:10.4064/cm93-1-1 fatcat:iccre3lsmbdrhnb5j4jggtc62m