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Title: Local convergence of an at least sixth-order method in Banach spaces
Authors: Argyros, I.K.
Khattri, S.K.
George, S.
Issue Date: 2019
Citation: Journal of Fixed Point Theory and Applications, 2019, Vol.21, pp.-
Abstract: We present a local convergence analysis of an at least sixth-order family of methods to approximate a locally unique solution of nonlinear equations in a Banach space setting. The semilocal convergence analysis of this method was studied by Amat et al. in (Appl Math Comput 206:164 174, 2008; Appl Numer Math 62:833 841, 2012). This work provides computable convergence ball and computable error bounds. Numerical examples are also provided in this study. 2019, Springer Nature Switzerland AG.
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