On the local convergence of a Newton–Kurchatov-type method for non-differentiable operators
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Universidad de La Rioja
info
ISSN: 0096-3003
Datum der Publikation: 2017
Ausgabe: 304
Seiten: 1-9
Art: Artikel
Andere Publikationen in: Applied Mathematics and Computation
Zusammenfassung
By means of a nice idea, a Newton–Kurchatov type iterative process is constructed for solving nonlinear equations in Banach spaces. We analyze the local convergence of this iterative process. This study have an important and novel feature, since it is applicable to non-differentiable operators. So far, most of the local convergence results considered by other authors may apply only to differentiable operators due to the conditions that are required on the solution of the nonlinear equation. © 2017 Elsevier Inc.