Mann iteration for monotone nonexpansive mappings in ordered CAT(0) space with an application to integral equations

In this paper, we establish some convergence results for a monotone nonexpansive mapping in a [Formula: see text] space. We prove the Δ- and strong convergence of the Mann iteration scheme. Further, we provide a numerical example to illustrate the convergence of our iteration scheme, and also, as an...

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Detalles Bibliográficos
Autores principales: Uddin, Izhar, Garodia, Chanchal, Nieto, Juan Jose
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6290856/
https://www.ncbi.nlm.nih.gov/pubmed/30839835
http://dx.doi.org/10.1186/s13660-018-1925-2
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author Uddin, Izhar
Garodia, Chanchal
Nieto, Juan Jose
author_facet Uddin, Izhar
Garodia, Chanchal
Nieto, Juan Jose
author_sort Uddin, Izhar
collection PubMed
description In this paper, we establish some convergence results for a monotone nonexpansive mapping in a [Formula: see text] space. We prove the Δ- and strong convergence of the Mann iteration scheme. Further, we provide a numerical example to illustrate the convergence of our iteration scheme, and also, as an application, we discuss the solution of integral equation. Our results extend some of the relevant results.
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spelling pubmed-62908562018-12-27 Mann iteration for monotone nonexpansive mappings in ordered CAT(0) space with an application to integral equations Uddin, Izhar Garodia, Chanchal Nieto, Juan Jose J Inequal Appl Research In this paper, we establish some convergence results for a monotone nonexpansive mapping in a [Formula: see text] space. We prove the Δ- and strong convergence of the Mann iteration scheme. Further, we provide a numerical example to illustrate the convergence of our iteration scheme, and also, as an application, we discuss the solution of integral equation. Our results extend some of the relevant results. Springer International Publishing 2018-12-11 2018 /pmc/articles/PMC6290856/ /pubmed/30839835 http://dx.doi.org/10.1186/s13660-018-1925-2 Text en © The Author(s) 2018 Open Access This 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
Uddin, Izhar
Garodia, Chanchal
Nieto, Juan Jose
Mann iteration for monotone nonexpansive mappings in ordered CAT(0) space with an application to integral equations
title Mann iteration for monotone nonexpansive mappings in ordered CAT(0) space with an application to integral equations
title_full Mann iteration for monotone nonexpansive mappings in ordered CAT(0) space with an application to integral equations
title_fullStr Mann iteration for monotone nonexpansive mappings in ordered CAT(0) space with an application to integral equations
title_full_unstemmed Mann iteration for monotone nonexpansive mappings in ordered CAT(0) space with an application to integral equations
title_short Mann iteration for monotone nonexpansive mappings in ordered CAT(0) space with an application to integral equations
title_sort mann iteration for monotone nonexpansive mappings in ordered cat(0) space with an application to integral equations
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6290856/
https://www.ncbi.nlm.nih.gov/pubmed/30839835
http://dx.doi.org/10.1186/s13660-018-1925-2
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AT nietojuanjose manniterationformonotonenonexpansivemappingsinorderedcat0spacewithanapplicationtointegralequations

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