Sreedeep, C.D.George, S.Argyros, I.K.2020-03-312020-03-312019Journal of Applied Mathematics and Computing, 2019, Vol.60, pp.435-453https://idr.nitk.ac.in/handle/123456789/11227In this paper, we study nonlinear ill-posed equations involving m-accretive mappings in Banach spaces. We produce an extended Newton-type iterative scheme that converges cubically to the solution which uses assumptions only on the first Fr chet derivative of the operator. Using general H lder type source condition we obtain an error estimate. We also use the adaptive parameter choice strategy proposed by Pereverzev and Schock (SIAM J Numer Anal 43(5):2060 2076, 2005) for choosing the regularization parameter. 2018, Korean Society for Computational and Applied Mathematics.Article