A convergence of a Steffensen-like method for solving nonlinear equations in a Banach space

DOI: https://doi.org/10.37193/CMI.2017.02.02

We present a local as well as a semilocal convergence analysis of a Steffensen-like method in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. This method generalizes and improves the sufficient convergence conditions of earlier methods. In particular, a numerical example is presented to show the advantages of our approach.