Projection Algorithms for Variational Inclusions
We present a projection algorithm for finding a solution of a variational inclusion problem in a real Hilbert space. Furthermore, we prove that the proposed iterative algorithm converges strongly to a solution of the variational inclusion problem which also solves some variational inequality.
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Format: | Article |
Language: | English |
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Wiley
2012-01-01
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Series: | Journal of Applied Mathematics |
Online Access: | http://dx.doi.org/10.1155/2012/137932 |
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author | Youli Yu Pei-Xia Yang Khalida Inayat Noor |
author_facet | Youli Yu Pei-Xia Yang Khalida Inayat Noor |
author_sort | Youli Yu |
collection | DOAJ |
description | We present a projection algorithm for finding a solution of a variational inclusion problem in a real Hilbert space. Furthermore, we prove that the proposed iterative algorithm converges strongly to a solution of the variational inclusion problem which also solves some variational inequality. |
format | Article |
id | doaj-art-3c927de32b2144708b1b44da9d8f6267 |
institution | Kabale University |
issn | 1110-757X 1687-0042 |
language | English |
publishDate | 2012-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Applied Mathematics |
spelling | doaj-art-3c927de32b2144708b1b44da9d8f62672025-02-03T01:23:44ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/137932137932Projection Algorithms for Variational InclusionsYouli Yu0Pei-Xia Yang1Khalida Inayat Noor2School of Mathematics and Information Engineering, Taizhou University, Linhai 317000, ChinaDepartment of Mathematics, Tianjin Polytechnic University, Tianjin 300387, ChinaMathematics Department, COMSATS Institute of Information Technology, Islamabad 44000, PakistanWe present a projection algorithm for finding a solution of a variational inclusion problem in a real Hilbert space. Furthermore, we prove that the proposed iterative algorithm converges strongly to a solution of the variational inclusion problem which also solves some variational inequality.http://dx.doi.org/10.1155/2012/137932 |
spellingShingle | Youli Yu Pei-Xia Yang Khalida Inayat Noor Projection Algorithms for Variational Inclusions Journal of Applied Mathematics |
title | Projection Algorithms for Variational Inclusions |
title_full | Projection Algorithms for Variational Inclusions |
title_fullStr | Projection Algorithms for Variational Inclusions |
title_full_unstemmed | Projection Algorithms for Variational Inclusions |
title_short | Projection Algorithms for Variational Inclusions |
title_sort | projection algorithms for variational inclusions |
url | http://dx.doi.org/10.1155/2012/137932 |
work_keys_str_mv | AT youliyu projectionalgorithmsforvariationalinclusions AT peixiayang projectionalgorithmsforvariationalinclusions AT khalidainayatnoor projectionalgorithmsforvariationalinclusions |