Implicit Methods for Equilibrium Problems on Hadamard Manifolds
We use the auxiliary principle technique to suggest and analyze an implicit method for solving the equilibrium problems on Hadamard manifolds. The convergence of this new implicit method requires only the speudomonotonicity, which is a weaker condition than monotonicity. Some special cases are also...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/437391 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832568002323677184 |
|---|---|
| author | Muhammad Aslam Noor Saira Zainab Yonghong Yao |
| author_facet | Muhammad Aslam Noor Saira Zainab Yonghong Yao |
| author_sort | Muhammad Aslam Noor |
| collection | DOAJ |
| description | We use the auxiliary principle technique to suggest and analyze an implicit method for solving the equilibrium problems on Hadamard manifolds. The convergence of this new implicit method requires only the speudomonotonicity, which is a weaker condition than monotonicity. Some special cases are also considered. |
| format | Article |
| id | doaj-art-6ac0f323937348f8af2e2801f2262e04 |
| 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-6ac0f323937348f8af2e2801f2262e042025-02-03T00:59:59ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/437391437391Implicit Methods for Equilibrium Problems on Hadamard ManifoldsMuhammad Aslam Noor0Saira Zainab1Yonghong Yao2Mathematics Department, COMSATS Institute of Information Technology, Islamabad, PakistanMathematics Department, HITEC University, Taxila Cantt, PakistanDepartment of Mathematics, Tianjin Polytechnic University, Tianjin 300387, ChinaWe use the auxiliary principle technique to suggest and analyze an implicit method for solving the equilibrium problems on Hadamard manifolds. The convergence of this new implicit method requires only the speudomonotonicity, which is a weaker condition than monotonicity. Some special cases are also considered.http://dx.doi.org/10.1155/2012/437391 |
| spellingShingle | Muhammad Aslam Noor Saira Zainab Yonghong Yao Implicit Methods for Equilibrium Problems on Hadamard Manifolds Journal of Applied Mathematics |
| title | Implicit Methods for Equilibrium Problems on Hadamard Manifolds |
| title_full | Implicit Methods for Equilibrium Problems on Hadamard Manifolds |
| title_fullStr | Implicit Methods for Equilibrium Problems on Hadamard Manifolds |
| title_full_unstemmed | Implicit Methods for Equilibrium Problems on Hadamard Manifolds |
| title_short | Implicit Methods for Equilibrium Problems on Hadamard Manifolds |
| title_sort | implicit methods for equilibrium problems on hadamard manifolds |
| url | http://dx.doi.org/10.1155/2012/437391 |
| work_keys_str_mv | AT muhammadaslamnoor implicitmethodsforequilibriumproblemsonhadamardmanifolds AT sairazainab implicitmethodsforequilibriumproblemsonhadamardmanifolds AT yonghongyao implicitmethodsforequilibriumproblemsonhadamardmanifolds |