A modified Newton-secant method for solving nonsmooth generalized equations

A modified Newton-secant method for solving nonsmooth generalized equations

In this paper, we study the solvability of nonsmooth generalized equations in Banach spaces using a modified Newton-secant method, by assuming a Hölder condition. Also, we generalize a Dennis-Moré theorem to characterize the superlinear convergence of the proposed method applied to nonsmooth genera...

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Bibliographic Details
Main Authors: Vitaliano de Sousa Amaral, Paulo Sérgio Marques dos Santos, Gilson N. Silva, Sissy Souza
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2024-03-01
Series:Mathematical Modelling and Analysis
Subjects:
Newton-Kantorovich theorem
divided differences
Newton-secant method
generalized equations
Online Access:https://jau.vgtu.lt/index.php/MMA/article/view/18680

Internet

https://jau.vgtu.lt/index.php/MMA/article/view/18680

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