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- Title
Ball Convergence of an Efficient High Order Iterative Method for Solving Banach Valued Equations.
- Authors
Argyros, Ioannis K.; George, Santhosh
- Abstract
The aim of this article is to extend the applicability of a multi-point iterative method for solving equations involving Banach space valued operators. The method uses evaluations of : two vector values, two linear operators, one inverse of a linear operator and one frozen inverse of a linear operator per iteration. The ball convergence was established in earlier works on the m-dimensional space and requiring very high order derivatives. We only use hypotheses on the first derivative. Hence, we extend the applicability of this method. Moreover, estimations are given on a radius of convergence and the error distances based on generalized Lipschitz conditions not given before. Numerical examples are used to complete this article.
- Subjects
BANACH spaces; EQUATIONS
- Publication
Southeast Asian Bulletin of Mathematics, 2022, Vol 46, Issue 2, p141
- ISSN
0129-2021
- Publication type
Article