Document Type: Original Article
Department of Mathematical Sciences, Cameron University, Lawton, OK 73505, USA
Department of Mathematical and Computational Sciences, NIT Karnataka, 575 025, India
Department of Mathematics, Manipal Institute of Technology, Manipal, Karnataka, 576104, India
We expand the applicability of eighth order-iterative method studied by Jaiswal in order to approximate a locally unique solution of an equation in Banach space setting. We provide a local convergence analysis using only hypotheses on the first Frechet-derivative. Moreover, we provide computable convergence radii, error bounds, and uniqueness results. Numerical examples computing the radii of the convergence balls as well as examples where earlier results cannot apply to solve equations but our results can apply are also given in this study.