Extended Local Convergence for the Combined Newton-Kurchatov Method Under the Generalized Lipschitz Conditions

Extended Local Convergence for the Combined Newton-Kurchatov Method Under the Generalized Lipschitz Conditions

We present a local convergence of the combined Newton-Kurchatov method for solving Banach space valued equations. The convergence criteria involve derivatives until the second and Lipschitz-type conditions are satisfied, as well as a new center-Lipschitz-type condition and the notion of the restrict...

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Bibliographic Details
Main Authors: Ioannis K. Argyros, Stepan Shakhno
Format: Article
Language:English
Published: MDPI AG 2019-02-01
Series:Mathematics
Subjects:
nonlinear equation
iterative process
non-differentiable operator
Lipschitz condition
Online Access:https://www.mdpi.com/2227-7390/7/2/207

Internet

https://www.mdpi.com/2227-7390/7/2/207

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