On the Convergence of a Kurchatov-Type Method for Solving Nonlinear Equations and Its Applications

On the Convergence of a Kurchatov-Type Method for Solving Nonlinear Equations and Its Applications

A local and a semi-local convergence analysis are presented for the Kurchatov-type method to solve numerically nonlinear equations in a Banach space. The method depends on a real parameter. By specializing the parameter, we obtain methods already studied in the literature under different types of co...

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Bibliographic Details
Main Authors: Ioannis K. Argyros, Stepan Shakhno, Halyna Yarmola
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:AppliedMath
Subjects:
Kurchatov-type method
derivative-free method
local and semi-local convergence
convergence ball
Banach space
Online Access:https://www.mdpi.com/2673-9909/4/4/82
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