George, S.Nair, M.T.2026-02-052017Journal of Inverse and Ill-Posed Problems, 2017, 25, 5, pp. 543-5519280219https://doi.org/10.1515/jiip-2014-0049https://idr.nitk.ac.in/handle/123456789/25483Recently, Semenova [12] considered a derivative free iterative method for nonlinear ill-posed operator equations with a monotone operator. In this paper, a modified form of Semenova's method is considered providing simple convergence analysis under more realistic nonlinearity assumptions. The paper also provides a stopping rule for the iteration based on an a priori choice of the regularization parameter and also under the adaptive procedure considered by Pereverzev and Schock [11]. © 2017 Walter de Gruyter GmbH, Berlin/Boston.Control nonlinearitiesMathematical operatorsNonlinear equationsAdaptive methodsConvergence analysisDerivative-free methodsIll-posed operator equationLavrentiev regularizationsMonotone operatorsNonlinear ill-posed equationsRegularization parametersIterative methods