A fixed point method for stability of nonlinear volterra integral equations in the sense of Ulam

Abstract

In this paper, we investigate the Hyers-Ulam and Hyers-Ulam-Rassias stability of solutions of a general class of nonlinear Volterra integral equations. By applying a fixed point theorem and modifying a technique widely used in similar problems, we improve some well-known results on this problem. We also provide some examples illustrating the improvement of the results mentioned.