Expanding the Applicability of a Fifth Order Iterative Method in Banach Space Under Weak Conditions

Abstract

Sharma 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.