Convergence analysis of an iterative algorithm for the extended regularized nonconvex variational inequalities

In this paper, we suggest and analyze a new system of extended regularized nonconvex variational inequalities and prove the equivalence between the aforesaid system and a fixed point problem. We introduce a new perturbed projection iterative algorithm with mixed errors to find the solution of the sy...

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Detalles Bibliográficos
Autores principales: Zhao, Ying, Shi, Luoyi, Chen, Rudong
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5403888/
https://www.ncbi.nlm.nih.gov/pubmed/28496295
http://dx.doi.org/10.1186/s13660-017-1347-6
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author Zhao, Ying
Shi, Luoyi
Chen, Rudong
author_facet Zhao, Ying
Shi, Luoyi
Chen, Rudong
author_sort Zhao, Ying
collection PubMed
description In this paper, we suggest and analyze a new system of extended regularized nonconvex variational inequalities and prove the equivalence between the aforesaid system and a fixed point problem. We introduce a new perturbed projection iterative algorithm with mixed errors to find the solution of the system of extended regularized nonconvex variational inequalities. Furthermore, under moderate assumptions, we research the convergence analysis of the suggested iterative algorithm.
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spelling pubmed-54038882017-05-09 Convergence analysis of an iterative algorithm for the extended regularized nonconvex variational inequalities Zhao, Ying Shi, Luoyi Chen, Rudong J Inequal Appl Research In this paper, we suggest and analyze a new system of extended regularized nonconvex variational inequalities and prove the equivalence between the aforesaid system and a fixed point problem. We introduce a new perturbed projection iterative algorithm with mixed errors to find the solution of the system of extended regularized nonconvex variational inequalities. Furthermore, under moderate assumptions, we research the convergence analysis of the suggested iterative algorithm. Springer International Publishing 2017-04-24 2017 /pmc/articles/PMC5403888/ /pubmed/28496295 http://dx.doi.org/10.1186/s13660-017-1347-6 Text en © The Author(s) 2017 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
Zhao, Ying
Shi, Luoyi
Chen, Rudong
Convergence analysis of an iterative algorithm for the extended regularized nonconvex variational inequalities
title Convergence analysis of an iterative algorithm for the extended regularized nonconvex variational inequalities
title_full Convergence analysis of an iterative algorithm for the extended regularized nonconvex variational inequalities
title_fullStr Convergence analysis of an iterative algorithm for the extended regularized nonconvex variational inequalities
title_full_unstemmed Convergence analysis of an iterative algorithm for the extended regularized nonconvex variational inequalities
title_short Convergence analysis of an iterative algorithm for the extended regularized nonconvex variational inequalities
title_sort convergence analysis of an iterative algorithm for the extended regularized nonconvex variational inequalities
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5403888/
https://www.ncbi.nlm.nih.gov/pubmed/28496295
http://dx.doi.org/10.1186/s13660-017-1347-6
work_keys_str_mv AT zhaoying convergenceanalysisofaniterativealgorithmfortheextendedregularizednonconvexvariationalinequalities
AT shiluoyi convergenceanalysisofaniterativealgorithmfortheextendedregularizednonconvexvariationalinequalities
AT chenrudong convergenceanalysisofaniterativealgorithmfortheextendedregularizednonconvexvariationalinequalities

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