Argyros, I.K.George, S.2026-02-052020Journal of Applied Mathematics and Computing, 2020, 62, 46054, pp. 55-6515985865https://doi.org/10.1007/s12190-019-01273-yhttps://idr.nitk.ac.in/handle/123456789/24085The aim of this article is to present a convergence analysis for single point Newton-type schemes for solving equations with Banach space valued operators. The equations contain a non-differentiable part. Although the convergence conditions are very general, they are weaker than the corresponding ones in earlier works leading to a finer convergence analysis in both the local as well as the semi-local convergence analysis. Therefore, the applicability of these iterative schemes is extended. © 2019, Korean Society for Informatics and Computational Applied Mathematics.Computational methodsMathematical techniquesConvergence analysisConvergence conditionsIterative schemesNon-differentiableSemi-local convergencesSingle pointBanach spaces