Local convergence of a fifth convergence order method in Banach space

Local convergence of a fifth convergence order method in Banach space

We provide a local convergence analysis for a fifth convergence order method to find a solution of a nonlinear equation in a Banach space. In our paper the sufficient convergence conditions involve only hypotheses on the first Fréchet-derivative. Previous works use conditions reaching up to the four...

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Bibliographic Details
Main Authors: Ioannis K. Argyros, Santhosh George
Format: Article
Language:English
Published: Emerald Publishing 2017-07-01
Series:Arab Journal of Mathematical Sciences
Subjects:
High convergence order method
Banach space
Local convergence
Fréchet-derivative
Nonlinear equation
Online Access:http://www.sciencedirect.com/science/article/pii/S1319516616300433

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http://www.sciencedirect.com/science/article/pii/S1319516616300433

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