Local convergence radius for the Mann-type iteration
نویسندگان
چکیده
منابع مشابه
Estimating the Local Radius of Convergence for Picard Iteration
The well known Ostrowski theorem [1] gives a sufficient condition (the spectral radius of the Jacobian of the iteration mapping in the fixed point to be less than 1) for the local convergence of Picard iteration. “However, no estimate for the size of an attraction ball is known” [2] (2009). The problem of estimating the local radius of convergence for different iterative methods was considered ...
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*Correspondence: [email protected] 1Department of Mathematics, Faculty of Science For Girls, King Abdulaziz University, Jeddah, 21593, Saudi Arabia Full list of author information is available at the end of the article Abstract Let (X ,‖ · ‖) be a Banach space. Let C be a nonempty, bounded, closed, and convex subset of X and T : C→ C be a monotone nonexpansive mapping. In this paper, it is ...
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ژورنال
عنوان ژورنال: Annals of West University of Timisoara - Mathematics and Computer Science
سال: 2015
ISSN: 1841-3307
DOI: 10.1515/awutm-2015-0018