A double projection algorithm for quasimonotone variational inequalities in Banach spaces

We propose a double projection algorithm for solving variational inequality problems in Banach spaces. We establish the strong convergence of the whole sequence generated by the proposed method under the quasimonotone and uniform continuity on bounded sets, which are weaker conditions than those use...

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Detalles Bibliográficos
Autor principal: Zheng, Lian
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6154076/
https://www.ncbi.nlm.nih.gov/pubmed/30839668
http://dx.doi.org/10.1186/s13660-018-1852-2
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author Zheng, Lian
author_facet Zheng, Lian
author_sort Zheng, Lian
collection PubMed
description We propose a double projection algorithm for solving variational inequality problems in Banach spaces. We establish the strong convergence of the whole sequence generated by the proposed method under the quasimonotone and uniform continuity on bounded sets, which are weaker conditions than those used in existing projection-type methods for solving variational inequality problems in Banach spaces.
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spelling pubmed-61540762018-10-10 A double projection algorithm for quasimonotone variational inequalities in Banach spaces Zheng, Lian J Inequal Appl Research We propose a double projection algorithm for solving variational inequality problems in Banach spaces. We establish the strong convergence of the whole sequence generated by the proposed method under the quasimonotone and uniform continuity on bounded sets, which are weaker conditions than those used in existing projection-type methods for solving variational inequality problems in Banach spaces. Springer International Publishing 2018-09-24 2018 /pmc/articles/PMC6154076/ /pubmed/30839668 http://dx.doi.org/10.1186/s13660-018-1852-2 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
Zheng, Lian
A double projection algorithm for quasimonotone variational inequalities in Banach spaces
title A double projection algorithm for quasimonotone variational inequalities in Banach spaces
title_full A double projection algorithm for quasimonotone variational inequalities in Banach spaces
title_fullStr A double projection algorithm for quasimonotone variational inequalities in Banach spaces
title_full_unstemmed A double projection algorithm for quasimonotone variational inequalities in Banach spaces
title_short A double projection algorithm for quasimonotone variational inequalities in Banach spaces
title_sort double projection algorithm for quasimonotone variational inequalities in banach spaces
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6154076/
https://www.ncbi.nlm.nih.gov/pubmed/30839668
http://dx.doi.org/10.1186/s13660-018-1852-2
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