A New System of Multivalued Mixed Variational Inequality Problem
We consider a new system of multivalued mixed variational inequality problem, which includes some known systems of variational inequalities as special cases. Under suitable conditions, the existence of solutions for the system of multivalued mixed variational inequality problem and the convergence o...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/982606 |
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| _version_ | 1832565931420680192 |
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| author | Xi Li Xue-song Li |
| author_facet | Xi Li Xue-song Li |
| author_sort | Xi Li |
| collection | DOAJ |
| description | We consider a new system of multivalued mixed variational inequality problem, which includes some known systems of variational inequalities as special cases. Under suitable conditions, the existence of solutions for the system of multivalued mixed variational inequality problem and the convergence of iterative sequences generated by the generalized f-projection algorithm are proved. A perturbational algorithm for solving a special case of multivalued mixed variational inequality problem is formally constructed. The results concerned with the existence of solutions and the convergence of iterative sequences generated by the perturbational algorithm are also given. Some known results are improved and generalized. |
| format | Article |
| id | doaj-art-7640a8aaebc84b0fa7ddc6bfd71cd3e9 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-7640a8aaebc84b0fa7ddc6bfd71cd3e92025-02-03T01:05:31ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/982606982606A New System of Multivalued Mixed Variational Inequality ProblemXi Li0Xue-song Li1College of Mathematics and Computer, Xihua University, Chengdu, Sichuan 610039, ChinaDepartment of Mathematics, Sichuan University, Chengdu, Sichuan 610064, ChinaWe consider a new system of multivalued mixed variational inequality problem, which includes some known systems of variational inequalities as special cases. Under suitable conditions, the existence of solutions for the system of multivalued mixed variational inequality problem and the convergence of iterative sequences generated by the generalized f-projection algorithm are proved. A perturbational algorithm for solving a special case of multivalued mixed variational inequality problem is formally constructed. The results concerned with the existence of solutions and the convergence of iterative sequences generated by the perturbational algorithm are also given. Some known results are improved and generalized.http://dx.doi.org/10.1155/2014/982606 |
| spellingShingle | Xi Li Xue-song Li A New System of Multivalued Mixed Variational Inequality Problem Abstract and Applied Analysis |
| title | A New System of Multivalued Mixed Variational Inequality Problem |
| title_full | A New System of Multivalued Mixed Variational Inequality Problem |
| title_fullStr | A New System of Multivalued Mixed Variational Inequality Problem |
| title_full_unstemmed | A New System of Multivalued Mixed Variational Inequality Problem |
| title_short | A New System of Multivalued Mixed Variational Inequality Problem |
| title_sort | new system of multivalued mixed variational inequality problem |
| url | http://dx.doi.org/10.1155/2014/982606 |
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