A Modified Proximal Point Algorithm and Some Convergence Results

In this paper, the convergence to minimizers of a convex function of a modified proximal point algorithm involving a single-valued nonexpansive mapping and a multivalued nonexpansive mapping in CAT(0) spaces is studied and a numerical example is given to support our main results.

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Autores principales: Shengquan Weng, Dingping Wu, Zengfu Chao
Formato: article
Lenguaje:EN
Publicado: Hindawi Limited 2021
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Acceso en línea:https://doaj.org/article/da2834f2b029446aa309609e290f0c92
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spelling oai:doaj.org-article:da2834f2b029446aa309609e290f0c922021-11-29T00:57:04ZA Modified Proximal Point Algorithm and Some Convergence Results2314-478510.1155/2021/6951062https://doaj.org/article/da2834f2b029446aa309609e290f0c922021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/6951062https://doaj.org/toc/2314-4785In this paper, the convergence to minimizers of a convex function of a modified proximal point algorithm involving a single-valued nonexpansive mapping and a multivalued nonexpansive mapping in CAT(0) spaces is studied and a numerical example is given to support our main results.Shengquan WengDingping WuZengfu ChaoHindawi LimitedarticleMathematicsQA1-939ENJournal of Mathematics, Vol 2021 (2021)
institution DOAJ
collection DOAJ
language EN
topic Mathematics
QA1-939
spellingShingle Mathematics
QA1-939
Shengquan Weng
Dingping Wu
Zengfu Chao
A Modified Proximal Point Algorithm and Some Convergence Results
description In this paper, the convergence to minimizers of a convex function of a modified proximal point algorithm involving a single-valued nonexpansive mapping and a multivalued nonexpansive mapping in CAT(0) spaces is studied and a numerical example is given to support our main results.
format article
author Shengquan Weng
Dingping Wu
Zengfu Chao
author_facet Shengquan Weng
Dingping Wu
Zengfu Chao
author_sort Shengquan Weng
title A Modified Proximal Point Algorithm and Some Convergence Results
title_short A Modified Proximal Point Algorithm and Some Convergence Results
title_full A Modified Proximal Point Algorithm and Some Convergence Results
title_fullStr A Modified Proximal Point Algorithm and Some Convergence Results
title_full_unstemmed A Modified Proximal Point Algorithm and Some Convergence Results
title_sort modified proximal point algorithm and some convergence results
publisher Hindawi Limited
publishDate 2021
url https://doaj.org/article/da2834f2b029446aa309609e290f0c92
work_keys_str_mv AT shengquanweng amodifiedproximalpointalgorithmandsomeconvergenceresults
AT dingpingwu amodifiedproximalpointalgorithmandsomeconvergenceresults
AT zengfuchao amodifiedproximalpointalgorithmandsomeconvergenceresults
AT shengquanweng modifiedproximalpointalgorithmandsomeconvergenceresults
AT dingpingwu modifiedproximalpointalgorithmandsomeconvergenceresults
AT zengfuchao modifiedproximalpointalgorithmandsomeconvergenceresults
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