Argyros, I.K.Padikkal, P.George, S.2026-02-052017Nonlinear Functional Analysis and Applications, 2017, 22, 2, pp. 421-43212291595https://idr.nitk.ac.in/handle/123456789/25608In this study, we consider Newton's method for solving the nonlinear inclusion problems in Banach space, where F is a Fréchet differentiable operator. Using restricted convergence domains we prove the convergence of the method with the following advantages: tighter error estimates on the distances involved and the information on the location of the solution is at least as precise. These advantages were obtained under the same computational cost using the idea of restricted convergence domains. © 2017 Kyungnam University Press.Generalized equationKantorovich's theoremMaximal monotone operatorNewton's methodRestricted convergence domains