A Newton-like Midpoint Method for Solving Equations in Banach Space

The present paper includes the local and semilocal convergence analysis of a fourth-order method based on the quadrature formula in Banach spaces. The weaker hypotheses used are based only on the first Fréchet derivative. The new approach provides the residual errors, number of iterations, convergen...

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Bibliographic Details
Main Authors: Samundra Regmi, Ioannis K. Argyros, Gagan Deep, Laxmi Rathour
Format: Article
Language:English
Published: MDPI AG 2023-03-01
Series:Foundations
Subjects:
Online Access:https://www.mdpi.com/2673-9321/3/2/14