Please use this identifier to cite or link to this item: http://idr.nitk.ac.in/jspui/handle/123456789/10043
Title: Ball convergence of some iterative methods for nonlinear equations in Banach space under weak conditions
Authors: Argyros, I.K.
George, S.
Issue Date: 2018
Citation: Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, 2018, Vol.112, 4, pp.1169-1177
Abstract: The aim of this paper is to expand the applicability of a fast iterative method in a Banach space setting. Moreover, we provide computable radius of convergence, error bounds on the distances involved and a uniqueness of the solution result based on Lipschitz-type functions not given before. Furthermore, we avoid hypotheses on high order derivatives which limit the applicability of the method. Instead, we only use hypotheses on the first derivative. The convegence order is determined using the computational order of convergence or the approximate order of convergence. Numerical examples where earlier results cannot be applied to solve equations but our results can be applied are also given in this study. 2017, Springer-Verlag Italia S.r.l.
URI: http://idr.nitk.ac.in/jspui/handle/123456789/10043
Appears in Collections:1. Journal Articles

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