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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Dalat University
2012-06-01
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| Series: | Tạp chí Khoa học Đại học Đà Lạt |
| Subjects: | |
| Online Access: | https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/196 |
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| Summary: | 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. |
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| ISSN: | 0866-787X |