Hyers-Ulam Stability of Iterative Equation in the Class of Lipschitz Functions

الملخص EN

Hyers-Ulam stability is a basic sense of stability for functional equations.

In the present paper we discuss the Hyers-Ulam stability of a kind of iterative equations in the class of Lipschitz functions.

By the construction of a uniformly convergent sequence of functions we prove that, for every approximate solution of such an equation, there exists an exact solution near it.