ON INEXACT TIKHONOV AND PROXIMAL POINT REGULARISATION METHODS FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS
We investigate the inexact Tikhonov and proximal point regularisation methods for pseudomonotone equilibrium problems. In this ease, the regularised sub-problems may be not strongly monotone, even not pseudomonotone. However, any iterative sequence of the regularised sub-problems tends to the same s...
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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/197 |
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| _version_ | 1832574069719957504 |
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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 investigate the inexact Tikhonov and proximal point regularisation methods for pseudomonotone equilibrium problems. In this ease, the regularised sub-problems may be not strongly monotone, even not pseudomonotone. However, any iterative sequence of the regularised sub-problems tends to the same solution of the original problem which is nearest to the starting point for the Tikhonov method. |
| format | Article |
| id | doaj-art-ed7e9f0c45ff4ba690dc889095c57a83 |
| 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-ed7e9f0c45ff4ba690dc889095c57a832025-02-02T01:28:45ZengDalat UniversityTạp chí Khoa học Đại học Đà Lạt0866-787X2012-06-012210.37569/DalatUniversity.2.2.197(2012)ON INEXACT TIKHONOV AND PROXIMAL POINT REGULARISATION METHODS FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMSPhạm Gia Hưng0Lê Dũng Mưu1Nha Trang UniversityInstitute of Mathematics, Vietnamese Academy of Science and TechnologyWe investigate the inexact Tikhonov and proximal point regularisation methods for pseudomonotone equilibrium problems. In this ease, the regularised sub-problems may be not strongly monotone, even not pseudomonotone. However, any iterative sequence of the regularised sub-problems tends to the same solution of the original problem which is nearest to the starting point for the Tikhonov method.https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/197Pseudomonotone equilibrium problemInexact Tikhonov and proximal point methods |
| spellingShingle | Phạm Gia Hưng Lê Dũng Mưu ON INEXACT TIKHONOV AND PROXIMAL POINT REGULARISATION METHODS FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS Tạp chí Khoa học Đại học Đà Lạt Pseudomonotone equilibrium problem Inexact Tikhonov and proximal point methods |
| title | ON INEXACT TIKHONOV AND PROXIMAL POINT REGULARISATION METHODS FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS |
| title_full | ON INEXACT TIKHONOV AND PROXIMAL POINT REGULARISATION METHODS FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS |
| title_fullStr | ON INEXACT TIKHONOV AND PROXIMAL POINT REGULARISATION METHODS FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS |
| title_full_unstemmed | ON INEXACT TIKHONOV AND PROXIMAL POINT REGULARISATION METHODS FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS |
| title_short | ON INEXACT TIKHONOV AND PROXIMAL POINT REGULARISATION METHODS FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS |
| title_sort | on inexact tikhonov and proximal point regularisation methods for pseudomonotone equilibrium problems |
| topic | Pseudomonotone equilibrium problem Inexact Tikhonov and proximal point methods |
| url | https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/197 |
| work_keys_str_mv | AT phamgiahung oninexacttikhonovandproximalpointregularisationmethodsforpseudomonotoneequilibriumproblems AT ledungmuu oninexacttikhonovandproximalpointregularisationmethodsforpseudomonotoneequilibriumproblems |