Unified Local Convergence for Newton’s Method and Uniqueness of the Solution of Equations under Generalized Conditions in a Banach Space

Unified Local Convergence for Newton’s Method and Uniqueness of the Solution of Equations under Generalized Conditions in a Banach Space

Under the hypotheses that a function and its Fréchet derivative satisfy some generalized Newton−Mysovskii conditions, precise estimates on the radii of the convergence balls of Newton’s method, and of the uniqueness ball for the solution of the equations, are given for B...

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Bibliographic Details
Main Authors: Ioannis K. Argyros, Ángel Alberto Magreñán, Lara Orcos, Íñigo Sarría
Format: Article
Language:English
Published: MDPI AG 2019-05-01
Series:Mathematics
Subjects:
Newton’s method
local convergence
Newton-Mysovskii conditions
Banach space
Online Access:https://www.mdpi.com/2227-7390/7/5/463

Internet

https://www.mdpi.com/2227-7390/7/5/463

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