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A simplified proof of the Kantorovich theorem for solving equations using telescopic series

We extend the applicability of the Kantorovich theorem (KT) for solving nonlinear equations using Newton-Kantorovich method in a Banach space setting. Under the same information but using elementary scalar telescopic majorizing series, we provide a simpler proof for the (KT) [2], [7]. Our results p...

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Autors principals: Ioannis K. Argyros, Hongmin Ren
Format: Artigo
Idioma:Inglês
Publicat: Publishing House of the Romanian Academy 2015-12-01
Col·lecció:Journal of Numerical Analysis and Approximation Theory
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Accés en línia:https://ictp.acad.ro/jnaat/journal/article/view/1084
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