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

Vasile Berinde; Ştefan Măruşter

doi:10.2478/awutm-2014-0001

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

Annals of West University of Timisoara - Mathematics and Computer Science

Volume 52 (2014): Issue 1 (June 2014)

By: Vasile Berinde and Ştefan Măruşter

Open Access

|Dec 2014

Abstract

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 convergence in the same cases can be obtained on the basis of these lemmas.

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Articles in this issue

DOI: https://doi.org/10.2478/awutm-2014-0001 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293

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Language: English

Page range: 3 - 16

Submitted on: Jun 16, 2014

Accepted on: Jul 30, 2014

Published on: Dec 11, 2014

Published by: West University of Timisoara

In partnership with: Paradigm Publishing Services

Publication frequency: Volume open

Keywords:

Recurrent inequalities,

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© 2014 Vasile Berinde, Ştefan Măruşter, published by West University of Timisoara
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 52 (2014): Issue 1 (June 2014)