PROJECTION-ITERATION REALIZATION OF A NEWTON-LIKE METHOD FOR SOLVING NONLINEAR OPERATOR EQUATIONS

We consider the problem of existence and location of a solution of a nonlinear operator equation with a Fr´echet differentiable operator in a Banach space and present the convergence results for a projection-iteration method based on a Newton-like method under the Cauchy’s conditions, which generali...

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Bibliographic Details
Main Author: Liudmyla L. Hart
Format: Article
Language:English
Published: Oles Honchar Dnipro National University 2019-03-01
Series:Journal of Optimization, Differential Equations and Their Applications
Subjects:
Online Access:https://model-dnu.dp.ua/index.php/SM/article/view/134