Recurrent Inequalities and Some of their Applications to Picard and Mann Iterations

Two lemmas concerning the superior bound of a numerical sequence satisfying a common recurrence inequality are given. As applications, the error estimations are obtained for the Picard and Mann iterations in the case of demicontractive mappings. Additional conditions that ensure the strong convergen...

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Bibliographic Details
Main Authors: Berinde Vasile, Măruşter Ştefan
Format: Article
Language:English
Published: Sciendo 2014-06-01
Series:Annals of the West University of Timisoara: Mathematics and Computer Science
Subjects:
Online Access:https://doi.org/10.2478/awutm-2014-0001

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