On the convergence of iterates to fixed points of analytic operators

The results in this study deal with the question: given that an analytic operator has fixed point, when is it true that iterates (under the operator) of nearby points converge to the fixed point? We take advantage of the analyticity of the operator to show that it is possible to enlarge the converg...

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Bibliographic Details
Main Author: Ioannis K. Argyros
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2004-02-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
Online Access:https://www.ictp.acad.ro/jnaat/journal/article/view/754