Please use this identifier to cite or link to this item: https://idr.l1.nitk.ac.in/jspui/handle/123456789/11911
Title: Local convergence of a uniparametric halley-type method in banach space free of second derivative
Authors: Argyros, I.K.
George, S.
Mohapatra, R.N.
Issue Date: 2015
Citation: Advances in Nonlinear Variational Inequalities, 2015, Vol.18, 2, pp.48-57
Abstract: We 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.
URI: http://idr.nitk.ac.in/jspui/handle/123456789/11911
Appears in Collections:1. Journal Articles

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