Three-step iterations for mixed quasi variational-like inequalities
In this paper, we use the auxiliary principle technique in conjunction with the Bregman function to suggest and analyze a three-step predictor-corrector method for solving mixed quasi variational-like inequalities. We also study the convergence criteria of this new method under some mild conditions...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.2299 |
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| _version_ | 1832567759122202624 |
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| author | Muhammad Aslam Noor |
| author_facet | Muhammad Aslam Noor |
| author_sort | Muhammad Aslam Noor |
| collection | DOAJ |
| description | In this paper, we use the auxiliary principle technique in
conjunction with the Bregman function to suggest and analyze a
three-step predictor-corrector method for solving mixed quasi
variational-like inequalities. We also study the convergence
criteria of this new method under some mild conditions. As special
cases, we obtain various new and known methods for solving
variational inequalities and related optimization problems. |
| format | Article |
| id | doaj-art-d0648593dab445bfb535e1b09425350c |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-d0648593dab445bfb535e1b09425350c2025-02-03T01:00:36ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005142299230610.1155/IJMMS.2005.2299Three-step iterations for mixed quasi variational-like inequalitiesMuhammad Aslam Noor0Mathematics Department, COMSATS Institute of Information Technology, Islamabad, PakistanIn this paper, we use the auxiliary principle technique in conjunction with the Bregman function to suggest and analyze a three-step predictor-corrector method for solving mixed quasi variational-like inequalities. We also study the convergence criteria of this new method under some mild conditions. As special cases, we obtain various new and known methods for solving variational inequalities and related optimization problems.http://dx.doi.org/10.1155/IJMMS.2005.2299 |
| spellingShingle | Muhammad Aslam Noor Three-step iterations for mixed quasi variational-like inequalities International Journal of Mathematics and Mathematical Sciences |
| title | Three-step iterations for mixed quasi variational-like inequalities |
| title_full | Three-step iterations for mixed quasi variational-like inequalities |
| title_fullStr | Three-step iterations for mixed quasi variational-like inequalities |
| title_full_unstemmed | Three-step iterations for mixed quasi variational-like inequalities |
| title_short | Three-step iterations for mixed quasi variational-like inequalities |
| title_sort | three step iterations for mixed quasi variational like inequalities |
| url | http://dx.doi.org/10.1155/IJMMS.2005.2299 |
| work_keys_str_mv | AT muhammadaslamnoor threestepiterationsformixedquasivariationallikeinequalities |