Ball convergence of an iterative method for
nonlinear equations based on the decomposition technique under weak conditions

Abstract. In the present paper, we consider convergence analysis of a numerical method considered in Shah and Noor (2015) to solve equations using decomposition technique under weaker assumptions. Using the idea of restricted convergence domains we extend the applicability of this method. Numerical examples where earlier results cannot apply to solve equations but our results can apply are also given in this study.