Please use this identifier to cite or link to this item: https://idr.l2.nitk.ac.in/jspui/handle/123456789/11916
Title: Local convergence of deformed Euler-Halley-type methods in Banach space under weak conditions
Authors: Argyros, I.K.
George, S.
Issue Date: 2017
Citation: Asian-European Journal of Mathematics, 2017, Vol.10, 4, pp.-
Abstract: We present a unified local convergence analysis for deformed Euler-Halley-type methods in order to approximate a solution of a nonlinear equation in a Banach space setting. Our methods include the Euler, Halley and other high order methods. The convergence ball and error estimates are given for these methods under hypotheses up to the first Fr chet derivative in contrast to earlier studies using hypotheses up to the second Fr chet derivative. Numerical examples are also provided in this study. 2017 World Scientific Publishing Company.
URI: http://idr.nitk.ac.in/jspui/handle/123456789/11916
Appears in Collections:1. Journal Articles

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