Ball convergence for a sixth-order multi-point method in Banach spaces under weak conditions
Volume 47 / 2020
Applicationes Mathematicae 47 (2020), 133-144
MSC: Primary 65D10, 65D99, 65G99; Secondary 47H17, 49M15.
DOI: 10.4064/am2350-2-2018
Published online: 24 June 2019
Abstract
The aim of this paper is to extend the applicability of some high order iterative methods without using hypotheses on derivatives not appearing in those methods. Numerical examples are given where earlier convergence conditions are not satisfied but the new ones are satisfied.
