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Derivative free processes of high order for nondifferentiable equations in Banach spaces.

Authors :
Villalba, Eva G.
Argyros, Ioannis K.
Hernández‐Verón, M. A.
Martínez, Eulalia
Source :
Mathematical Methods in the Applied Sciences. Jul2024, p1. 19p.
Publication Year :
2024

Abstract

In this article, we consider two parametric classes of derivative free iterative methods of high order of convergence in Banach spaces. We study local and semilocal convergence results in Banach spaces for both families of iterative processes. We carry out a numerical application to solve a nonlinear and nondifferentiable Fredholm integral equation in the Banach space of continuous functions with the maximum norm. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01704214
Database :
Academic Search Index
Journal :
Mathematical Methods in the Applied Sciences
Publication Type :
Academic Journal
Accession number :
178144772
Full Text :
https://doi.org/10.1002/mma.10292