ITERATIVE SOLUTION OF FUNCTIONAL VOLTERRA-FREDHOLM INTEGRAL EQUATION WITH DEVIATING ARGUMENT

Abstract

In this paper, we show that the iteration method defined in V. Karakaya, Y. Atalan, K. Dogan and NH. Bouzara, Some Fixed Point Results for a New Three Steps Iteration Process in Banach Spaces, Fixed Point Theory converges to solution of the functional Volterra-Fredholm integral equation with deviating argument in a Banach space. Furthermore, a data dependence result for the solution of this integral equation has been proven.