On the Local Convergence of Two-Step Newton Type Method in Banach Spaces under Generalized Lipschitz Conditions

On the Local Convergence of Two-Step Newton Type Method in Banach Spaces under Generalized Lipschitz Conditions

The motive of this paper is to discuss the local convergence of a two-step Newton-type method of convergence rate three for solving nonlinear equations in Banach spaces. It is assumed that the first order derivative of nonlinear operator satisfies the generalized Lipschitz i.e., <i>L</i>...

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Bibliographic Details
Main Authors: Akanksha Saxena, Ioannis K. Argyros, Jai P. Jaiswal, Christopher Argyros, Kamal R. Pardasani
Format: Article
Language:English
Published: MDPI AG 2021-03-01
Series:Mathematics
Subjects:
banach space
nonlinear problem
local convergence
lipschitz condition
L-average
convergence ball
Online Access:https://www.mdpi.com/2227-7390/9/6/669

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https://www.mdpi.com/2227-7390/9/6/669

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