Semi-Local Convergence of a Seventh Order Method with One Parameter for Solving Non-Linear Equations

Semi-Local Convergence of a Seventh Order Method with One Parameter for Solving Non-Linear Equations

The semi-local convergence is presented for a one parameter seventh order method to obtain solutions of Banach space valued nonlinear models. Existing works utilized hypotheses up to the eighth derivative to prove the local convergence. But these high order derivatives are not on the method and they...

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Bibliographic Details
Main Authors: Christopher I. Argyros, Ioannis K. Argyros, Samundra Regmi, Jinny Ann John, Jayakumar Jayaraman
Format: Article
Language:English
Published: MDPI AG 2022-09-01
Series:Foundations
Subjects:
Banach spaces
Fréchet derivative
semi-local convergence
convergence ball
Online Access:https://www.mdpi.com/2673-9321/2/4/56

Internet

https://www.mdpi.com/2673-9321/2/4/56

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