[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.j160629

ENLARGING THE BALL OF CONVERGENCE OF SECANT-LIKE METHODS FOR NON-DIFFERENTIABLE OPERATORS

Argyros, Ioannis K. (Department of Mathematical Sciences Cameron University)
Ren, Hongmin (College of Information and Engineering Hangzhou Polytechnic)

Publication Information

Journal of the Korean Mathematical Society / v.55, no.1, 2018 , pp. 17-28 More about this Journal

Abstract

In this paper, we enlarge the ball of convergence of a uniparametric family of secant-like methods for solving non-differentiable operators equations in Banach spaces via using ${\omega}$ -condition and centered-like ${\omega}$ -condition meantime as well as some fine techniques such as the affine invariant form. Numerical examples are also provided.

Keywords

non-differentiable operator equation; the secant-like method; the ball of convergence; the ${\omega}$ -condition and centered-like ${\omega}$ -condition; affine invariant form;

Citations & Related Records

Reference

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