Iterative Schemes for a Class of Mixed Trifunction Variational Inequalities
We use the auxiliary principle technique to suggest and analyze some iterative methods for solving a new class of variational inequalities, which is called the mixed trifunction variational inequality. The mixed trifunction variational inequality includes the trifunction variational inequalities an...
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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/10.1155/2012/125373 |
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| author | Muhammad Aslam Noor Khalida Inayat Noor Eisa Al-Said |
| author_facet | Muhammad Aslam Noor Khalida Inayat Noor Eisa Al-Said |
| author_sort | Muhammad Aslam Noor |
| collection | DOAJ |
| description | We use the auxiliary principle technique to suggest and analyze some iterative methods for solving a new class of variational inequalities, which is called the mixed trifunction variational inequality. The mixed trifunction variational inequality includes the trifunction variational inequalities and the classical variational inequalities as special cases. Convergence of these iterative methods is proved under very mild and suitable assumptions. Several special cases are also considered. Results proved in this paper continue to hold for these known and new classes of variational inequalities and its variant forms. |
| format | Article |
| id | doaj-art-26ca8b735deb4c74a76075b8cf0b4de7 |
| 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-26ca8b735deb4c74a76075b8cf0b4de72025-02-03T05:49:31ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/125373125373Iterative Schemes for a Class of Mixed Trifunction Variational InequalitiesMuhammad Aslam Noor0Khalida Inayat Noor1Eisa Al-Said2Mathematics Department, COMSATS University of Science and Technology, Park Road, Islamabad, PakistanMathematics Department, COMSATS University of Science and Technology, Park Road, Islamabad, PakistanMathematics Department, College of Science, King Saud University, Riyadh 11451, Saudi ArabiaWe use the auxiliary principle technique to suggest and analyze some iterative methods for solving a new class of variational inequalities, which is called the mixed trifunction variational inequality. The mixed trifunction variational inequality includes the trifunction variational inequalities and the classical variational inequalities as special cases. Convergence of these iterative methods is proved under very mild and suitable assumptions. Several special cases are also considered. Results proved in this paper continue to hold for these known and new classes of variational inequalities and its variant forms.http://dx.doi.org/10.1155/2012/125373 |
| spellingShingle | Muhammad Aslam Noor Khalida Inayat Noor Eisa Al-Said Iterative Schemes for a Class of Mixed Trifunction Variational Inequalities Journal of Applied Mathematics |
| title | Iterative Schemes for a Class of Mixed Trifunction Variational Inequalities |
| title_full | Iterative Schemes for a Class of Mixed Trifunction Variational Inequalities |
| title_fullStr | Iterative Schemes for a Class of Mixed Trifunction Variational Inequalities |
| title_full_unstemmed | Iterative Schemes for a Class of Mixed Trifunction Variational Inequalities |
| title_short | Iterative Schemes for a Class of Mixed Trifunction Variational Inequalities |
| title_sort | iterative schemes for a class of mixed trifunction variational inequalities |
| url | http://dx.doi.org/10.1155/2012/125373 |
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