Argyros, I.K.George, S.2020-03-312020-03-312013Mathematica, 2013, Vol.55, 2, pp.103-111https://idr.nitk.ac.in/handle/123456789/11113We present a semilocal convergence analysis for a simplified Newton-Lavrentiev regularization method for solving ill-posed problems in a Hilbert space setting. We use a center-Lipschitz instead of a Lipschitz condition in our conver-gence analysis. This way we obtain: weaker convergence criteria, tighter error bounds and more precise information on the location of the solution than in earlier studies (such as [13]).Article