Argyros, I.K.George, S.2026-02-042022Panamerican Mathematical Journal, 2022, 32, 1, pp. 34-4410649735https://idr.nitk.ac.in/handle/123456789/22829Sharma and Gupta (2014), considered a fifth order method for solving systems of nonlinear equations. We suitably modified their method to include the nonlinear equations in Banach spaces. Using the idea of restricted convergence domain we are able to weaken the conditions used in earlier studies. Numerical examples where earlier results cannot apply to solve equations but our results can apply are also given in this study. © 2022, International Publications. All rights reserved.Local convergenceNewton-type methodRadius of convergenceRestricted convergence domains