Algorithms for Solving the Variational Inequality Problem over the Triple Hierarchical Problem
This paper discusses the monotone variational inequality over the solution set of the variational inequality problem and the fixed point set of a nonexpansive mapping. The strong convergence theorem for the proposed algorithm to the solution is guaranteed under some suitable assumptions.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/827156 |
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| _version_ | 1849692556140478464 |
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| author | Thanyarat Jitpeera Poom Kumam |
| author_facet | Thanyarat Jitpeera Poom Kumam |
| author_sort | Thanyarat Jitpeera |
| collection | DOAJ |
| description | This paper discusses the monotone variational inequality over the solution set of the variational
inequality problem and the fixed point set of a nonexpansive mapping. The strong convergence
theorem for the proposed algorithm to the solution is guaranteed under some suitable assumptions. |
| format | Article |
| id | doaj-art-e9e8e6dc9a55482584df08f11d602830 |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e9e8e6dc9a55482584df08f11d6028302025-08-20T03:20:40ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/827156827156Algorithms for Solving the Variational Inequality Problem over the Triple Hierarchical ProblemThanyarat Jitpeera0Poom Kumam1Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bang Mod, Thung Khru, Bangkok 10140, ThailandDepartment of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bang Mod, Thung Khru, Bangkok 10140, ThailandThis paper discusses the monotone variational inequality over the solution set of the variational inequality problem and the fixed point set of a nonexpansive mapping. The strong convergence theorem for the proposed algorithm to the solution is guaranteed under some suitable assumptions.http://dx.doi.org/10.1155/2012/827156 |
| spellingShingle | Thanyarat Jitpeera Poom Kumam Algorithms for Solving the Variational Inequality Problem over the Triple Hierarchical Problem Abstract and Applied Analysis |
| title | Algorithms for Solving the Variational Inequality Problem over the Triple Hierarchical Problem |
| title_full | Algorithms for Solving the Variational Inequality Problem over the Triple Hierarchical Problem |
| title_fullStr | Algorithms for Solving the Variational Inequality Problem over the Triple Hierarchical Problem |
| title_full_unstemmed | Algorithms for Solving the Variational Inequality Problem over the Triple Hierarchical Problem |
| title_short | Algorithms for Solving the Variational Inequality Problem over the Triple Hierarchical Problem |
| title_sort | algorithms for solving the variational inequality problem over the triple hierarchical problem |
| url | http://dx.doi.org/10.1155/2012/827156 |
| work_keys_str_mv | AT thanyaratjitpeera algorithmsforsolvingthevariationalinequalityproblemoverthetriplehierarchicalproblem AT poomkumam algorithmsforsolvingthevariationalinequalityproblemoverthetriplehierarchicalproblem |