George, S.Shobha, M.E.2020-03-312020-03-312014Journal of Applied Mathematics and Computing, 2014, Vol.44, 43862, pp.69-82https://idr.nitk.ac.in/handle/123456789/12232An iterative method is investigated for a nonlinear ill-posed Hammerstein type operator equation KF(x)=f. We use a center-type Lipschitz condition in our convergence analysis instead of the usual Lipschitz condition. The adaptive method of Pereverzev and Schock (SIAM J. Numer. Anal. 43(5):2060-2076, 2005) is used for choosing the regularization parameter. The optimality of this method is proved under a general source condition involving the Fr chet derivative of F at some initial guess x 0. A numerical example of nonlinear integral equation shows the efficiency of this procedure. 2013 Korean Society for Computational and Applied Mathematics.Article