Argyros, I.K.George, S.Mohapatra, R.N.2020-03-312020-03-312015Advances in Nonlinear Variational Inequalities, 2015, Vol.18, 2, pp.48-57https://idr.nitk.ac.in/handle/123456789/11911We present a local convergence analysis of a uniparametric Halley-type method of high convergence order in order to approximate a solution of a nonlinear equation in a Banach space. Our sufficient convergence conditions involve only hypotheses on the first Fr chet-derivative of the operator involved. Earlier studies use hypotheses up to the third Fr chet-derivative [26]. Numerical examples are also provided in this study.Article