THE TIKHONOV REGULARISATION METHOD FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS
We extend the Tikhonov regularisation method widely used in optimisation and variational inequalities to pseudomonotone equilibrium problems. In this case, the Tikhonov regularised sub-problems have a unique solution only in the limit, but any Tikhonov trajectory tends to the solution of the origina...
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| Format: | Article |
| Language: | English |
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Dalat University
2012-06-01
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| Series: | Tạp chí Khoa học Đại học Đà Lạt |
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| Online Access: | https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/196 |
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| _version_ | 1832574007475437568 |
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| author | Phạm Gia Hưng Lê Dũng Mưu |
| author_facet | Phạm Gia Hưng Lê Dũng Mưu |
| author_sort | Phạm Gia Hưng |
| collection | DOAJ |
| description | We extend the Tikhonov regularisation method widely used in optimisation and variational inequalities to pseudomonotone equilibrium problems. In this case, the Tikhonov regularised sub-problems have a unique solution only in the limit, but any Tikhonov trajectory tends to the solution of the original problem that is nearest to the given guess solution. Application to multi-valued pseudomonotone variational inequality problems is discussed. |
| format | Article |
| id | doaj-art-eac598dcfb6a4df2b634e54e8b1e6342 |
| institution | Kabale University |
| issn | 0866-787X |
| language | English |
| publishDate | 2012-06-01 |
| publisher | Dalat University |
| record_format | Article |
| series | Tạp chí Khoa học Đại học Đà Lạt |
| spelling | doaj-art-eac598dcfb6a4df2b634e54e8b1e63422025-02-02T01:53:25ZengDalat UniversityTạp chí Khoa học Đại học Đà Lạt0866-787X2012-06-012210.37569/DalatUniversity.2.2.196(2012)THE TIKHONOV REGULARISATION METHOD FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMSPhạm Gia Hưng0Lê Dũng Mưu1Nha Trang UniversityInstitute of Mathematics, Vietnamese Academy of Science and TechnologyWe extend the Tikhonov regularisation method widely used in optimisation and variational inequalities to pseudomonotone equilibrium problems. In this case, the Tikhonov regularised sub-problems have a unique solution only in the limit, but any Tikhonov trajectory tends to the solution of the original problem that is nearest to the given guess solution. Application to multi-valued pseudomonotone variational inequality problems is discussed.https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/196Equilibrium problemsMulti-valued variational inequalitiesTikhonov regularisationPseudomonotonicity |
| spellingShingle | Phạm Gia Hưng Lê Dũng Mưu THE TIKHONOV REGULARISATION METHOD FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS Tạp chí Khoa học Đại học Đà Lạt Equilibrium problems Multi-valued variational inequalities Tikhonov regularisation Pseudomonotonicity |
| title | THE TIKHONOV REGULARISATION METHOD FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS |
| title_full | THE TIKHONOV REGULARISATION METHOD FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS |
| title_fullStr | THE TIKHONOV REGULARISATION METHOD FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS |
| title_full_unstemmed | THE TIKHONOV REGULARISATION METHOD FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS |
| title_short | THE TIKHONOV REGULARISATION METHOD FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS |
| title_sort | tikhonov regularisation method for pseudomonotone equilibrium problems |
| topic | Equilibrium problems Multi-valued variational inequalities Tikhonov regularisation Pseudomonotonicity |
| url | https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/196 |
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