Argyros, I.K.Khattri, S.K.George, S.2020-03-312020-03-312019Journal of Fixed Point Theory and Applications, 2019, Vol.21, pp.-https://idr.nitk.ac.in/handle/123456789/11913We 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.Local convergence of an at least sixth-order method in Banach spacesArticle