On different results for new three step iteration process in Banach spaces

In this paper we propose a new iteration process, called AK iteration process, for approximation of fixed points for contraction mappings. We show that our iteration process is faster than the leading Vatan Two-step iteration process for contraction mappings. Numerical examples are given to support...

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Detalles Bibliográficos
Autores principales: Ullah, Kifayat, Arshad, Muhammad
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5028375/
https://www.ncbi.nlm.nih.gov/pubmed/27652189
http://dx.doi.org/10.1186/s40064-016-3056-x
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author Ullah, Kifayat
Arshad, Muhammad
author_facet Ullah, Kifayat
Arshad, Muhammad
author_sort Ullah, Kifayat
collection PubMed
description In this paper we propose a new iteration process, called AK iteration process, for approximation of fixed points for contraction mappings. We show that our iteration process is faster than the leading Vatan Two-step iteration process for contraction mappings. Numerical examples are given to support the analytic proofs. Stability of AK iteration process and data dependence result for contraction mappings by employing AK iteration process are also discussed.
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spelling pubmed-50283752016-09-20 On different results for new three step iteration process in Banach spaces Ullah, Kifayat Arshad, Muhammad Springerplus Research In this paper we propose a new iteration process, called AK iteration process, for approximation of fixed points for contraction mappings. We show that our iteration process is faster than the leading Vatan Two-step iteration process for contraction mappings. Numerical examples are given to support the analytic proofs. Stability of AK iteration process and data dependence result for contraction mappings by employing AK iteration process are also discussed. Springer International Publishing 2016-09-20 /pmc/articles/PMC5028375/ /pubmed/27652189 http://dx.doi.org/10.1186/s40064-016-3056-x Text en © The Author(s) 2016 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Ullah, Kifayat
Arshad, Muhammad
On different results for new three step iteration process in Banach spaces
title On different results for new three step iteration process in Banach spaces
title_full On different results for new three step iteration process in Banach spaces
title_fullStr On different results for new three step iteration process in Banach spaces
title_full_unstemmed On different results for new three step iteration process in Banach spaces
title_short On different results for new three step iteration process in Banach spaces
title_sort on different results for new three step iteration process in banach spaces
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5028375/
https://www.ncbi.nlm.nih.gov/pubmed/27652189
http://dx.doi.org/10.1186/s40064-016-3056-x
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