A modified proximal point algorithm for solving variational inclusion problem in real Hilbert spaces
The purpose of this paper is to use a modified proximal point algorithm for solving variational inclusion problem in real Hilbert spaces. It is proven that the sequence generated by the proposed iterative algorithm converges strongly to the common solution of the convex minimization and variational...
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| Language: | English |
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EJAAM
2020-06-01
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| Series: | E-Journal of Analysis and Applied Mathematics |
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| Online Access: | https://ejaam.org/articles/2020/10.2478-ejaam-2020-0003.pdf |
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| _version_ | 1823864946425856000 |
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| author | Thierno M. M. Sow |
| author_facet | Thierno M. M. Sow |
| author_sort | Thierno M. M. Sow |
| collection | DOAJ |
| description | The purpose of this paper is to use a modified proximal point algorithm for solving variational inclusion problem in real Hilbert spaces. It is proven that the sequence generated by the proposed iterative algorithm converges strongly to the common solution of the convex minimization and variational inclusion problems. |
| format | Article |
| id | doaj-art-e75d400d6a38489dae5e483acacac2b2 |
| institution | Kabale University |
| issn | 2544-9990 |
| language | English |
| publishDate | 2020-06-01 |
| publisher | EJAAM |
| record_format | Article |
| series | E-Journal of Analysis and Applied Mathematics |
| spelling | doaj-art-e75d400d6a38489dae5e483acacac2b22025-02-08T18:35:22ZengEJAAME-Journal of Analysis and Applied Mathematics2544-99902020-06-01202010.2478/ejaam-2020-0003A modified proximal point algorithm for solving variational inclusion problem in real Hilbert spacesThierno M. M. Sow0madou Mahtar Mbow University, Dakar, SenegalThe purpose of this paper is to use a modified proximal point algorithm for solving variational inclusion problem in real Hilbert spaces. It is proven that the sequence generated by the proposed iterative algorithm converges strongly to the common solution of the convex minimization and variational inclusion problems.https://ejaam.org/articles/2020/10.2478-ejaam-2020-0003.pdfproximal point algorithmsconvex minimization problemvariational inclusion problemforward-backward splitting method |
| spellingShingle | Thierno M. M. Sow A modified proximal point algorithm for solving variational inclusion problem in real Hilbert spaces E-Journal of Analysis and Applied Mathematics proximal point algorithms convex minimization problem variational inclusion problem forward-backward splitting method |
| title | A modified proximal point algorithm for solving variational inclusion problem in real Hilbert spaces |
| title_full | A modified proximal point algorithm for solving variational inclusion problem in real Hilbert spaces |
| title_fullStr | A modified proximal point algorithm for solving variational inclusion problem in real Hilbert spaces |
| title_full_unstemmed | A modified proximal point algorithm for solving variational inclusion problem in real Hilbert spaces |
| title_short | A modified proximal point algorithm for solving variational inclusion problem in real Hilbert spaces |
| title_sort | modified proximal point algorithm for solving variational inclusion problem in real hilbert spaces |
| topic | proximal point algorithms convex minimization problem variational inclusion problem forward-backward splitting method |
| url | https://ejaam.org/articles/2020/10.2478-ejaam-2020-0003.pdf |
| work_keys_str_mv | AT thiernommsow amodifiedproximalpointalgorithmforsolvingvariationalinclusionprobleminrealhilbertspaces AT thiernommsow modifiedproximalpointalgorithmforsolvingvariationalinclusionprobleminrealhilbertspaces |