Newton-Type Methods on Generalized Banach Spaces and Applications in Fractional Calculus

We present a semilocal convergence study of Newton-type methods on a generalized Banach space setting to approximate a locally unique zero of an operator. Earlier studies require that the operator involved is Fréchet differentiable. In the present study we assume that the operator is only continuous...

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Bibliographic Details
Main Authors: George A. Anastassiou, Ioannis K. Argyros
Format: Article
Language:English
Published: MDPI AG 2015-10-01
Series:Algorithms
Subjects:
Online Access:http://www.mdpi.com/1999-4893/8/4/832