- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 2 Issue: 1
- Local convergence for a Chebyshev-type method in Banach space free of derivatives
Local convergence for a Chebyshev-type method in Banach space free of derivatives
Authors : Santhosh George, Ioannis K Argyros
Pages : 62-69
Doi:10.31197/atnaa.400459
View : 6 | Download : 1
Publication Date : 2018-03-25
Article Type : Research
Abstract :This paper is devoted to the study of a Chebyshev-type method free of derivatives for solving nonlinear equations in Banach spaces. Using the idea of restricted convergence domain, we extended the applicability of the Chebyshev-type methods. Our convergence conditions are weaker than the conditions used in earlier studies. Therefore the applicability of the method is extended. Numerical examples where earlier results cannot apply to solve equations but our results can apply are also given in this study.Keywords : Chebyshev-type method, restricted convergence domain, radius of convergence