George, S.Saeed, M.Argyros, I.K.Padikkal, J.2026-02-042023Journal of Applied Mathematics and Computing, 2023, 69, 1, pp. 1095-111515985865https://doi.org/10.1007/s12190-022-01782-3https://idr.nitk.ac.in/handle/123456789/22054In this paper, we propose a new source condition and introduce a new apriori parameter choice strategy for Lavrentiev regularization method for nonlinear ill-posed operator equation involving a monotone operator in the setting of a Hilbert space. Also, a fifth order iterative method is being proposed for approximately solving Lavrentiev regularized equation. A numerical example is illustrated to demonstrate the performance of the method. © 2022, The Author(s) under exclusive licence to Korean Society for Informatics and Computational Applied Mathematics.Mathematical operatorsNonlinear equationsNumerical methodsParameterizationAprioriApriori parameter choice strategyFifth order convergenceIll-posed equationsIterative schemesLavrentiev regularizationsNew sourcesParameter choiceRegularization methodsSource conditionsIterative methods