Implicit Schemes for Solving Extended General Nonconvex Variational Inequalities
We suggest and analyze some implicit iterative methods for solving the extended general nonconvex variational inequalities using the projection technique. We show that the convergence of these iterative methods requires only the gh-pseudomonotonicity, which is a weaker condition than gh-monotonicity...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/646259 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849406034244796416 |
|---|---|
| author | Muhammad Aslam Noor Khalida Inayat Noor Zhenyu Huang Eisa Al-Said |
| author_facet | Muhammad Aslam Noor Khalida Inayat Noor Zhenyu Huang Eisa Al-Said |
| author_sort | Muhammad Aslam Noor |
| collection | DOAJ |
| description | We suggest and analyze some implicit iterative methods for solving the extended general nonconvex variational inequalities using the projection technique. We show that the convergence of these
iterative methods requires only the gh-pseudomonotonicity, which is a weaker condition than gh-monotonicity. We also discuss several special cases. Our method of proof is very simple as compared with other techniques. |
| format | Article |
| id | doaj-art-4ec62408573e4932b5cfe89e6dce7287 |
| 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-4ec62408573e4932b5cfe89e6dce72872025-08-20T03:36:31ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/646259646259Implicit Schemes for Solving Extended General Nonconvex Variational InequalitiesMuhammad Aslam Noor0Khalida Inayat Noor1Zhenyu Huang2Eisa Al-Said3Mathematics Department, COMSATS Institute of Information Technology, Park Road, Islamabad, PakistanMathematics Department, COMSATS Institute of Information Technology, Park Road, Islamabad, PakistanMathematics Department, Nanjing University, Nanjing 210093, ChinaMathematics Department, College of Science, King Saud University, Riyadh 11451, Saudi ArabiaWe suggest and analyze some implicit iterative methods for solving the extended general nonconvex variational inequalities using the projection technique. We show that the convergence of these iterative methods requires only the gh-pseudomonotonicity, which is a weaker condition than gh-monotonicity. We also discuss several special cases. Our method of proof is very simple as compared with other techniques.http://dx.doi.org/10.1155/2012/646259 |
| spellingShingle | Muhammad Aslam Noor Khalida Inayat Noor Zhenyu Huang Eisa Al-Said Implicit Schemes for Solving Extended General Nonconvex Variational Inequalities Journal of Applied Mathematics |
| title | Implicit Schemes for Solving Extended General Nonconvex Variational Inequalities |
| title_full | Implicit Schemes for Solving Extended General Nonconvex Variational Inequalities |
| title_fullStr | Implicit Schemes for Solving Extended General Nonconvex Variational Inequalities |
| title_full_unstemmed | Implicit Schemes for Solving Extended General Nonconvex Variational Inequalities |
| title_short | Implicit Schemes for Solving Extended General Nonconvex Variational Inequalities |
| title_sort | implicit schemes for solving extended general nonconvex variational inequalities |
| url | http://dx.doi.org/10.1155/2012/646259 |
| work_keys_str_mv | AT muhammadaslamnoor implicitschemesforsolvingextendedgeneralnonconvexvariationalinequalities AT khalidainayatnoor implicitschemesforsolvingextendedgeneralnonconvexvariationalinequalities AT zhenyuhuang implicitschemesforsolvingextendedgeneralnonconvexvariationalinequalities AT eisaalsaid implicitschemesforsolvingextendedgeneralnonconvexvariationalinequalities |