a new note on convergence and data dependence concept for a volterra integral equation by fixed point iterative algorithm

In this paper, we prove that a three-step iterative algorithm converges strongly to the solution of a functional volterra integral equation of the second kind. we also show the solution presented in the convergence theorem can obtain by removing a strong restriction imposed on the control sequence. finally, we analyse the data-dependence result by using this iterative algorithm, and to support obtained result we give an example.