INVERSE VARIATIONAL INEQUALITIES AND SECOND-ORDER DYNAMICAL SYSTEMS
We consider the inverse variational inequality problem in finite-dimensional space and study its associated second-order dynamical system. In particular, we propose a second-order dynamical system whose trajectory converges exponentially to the solution of the inverse variational inequality problem...
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| Format: | Article |
| Language: | English |
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Dalat University
2025-05-01
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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/1413 |
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| _version_ | 1839579411126419456 |
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| author | Quoc Thanh Trinh |
| author_facet | Quoc Thanh Trinh |
| author_sort | Quoc Thanh Trinh |
| collection | DOAJ |
| description |
We consider the inverse variational inequality problem in finite-dimensional space and study its associated second-order dynamical system. In particular, we propose a second-order dynamical system whose trajectory converges exponentially to the solution of the inverse variational inequality problem under the Lipschitz continuous and strongly monotone condition.
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| format | Article |
| id | doaj-art-53d0f45b1ced4348abfd6e13e4d44cc1 |
| institution | Matheson Library |
| issn | 0866-787X |
| language | English |
| publishDate | 2025-05-01 |
| publisher | Dalat University |
| record_format | Article |
| series | Tạp chí Khoa học Đại học Đà Lạt |
| spelling | doaj-art-53d0f45b1ced4348abfd6e13e4d44cc12025-08-04T10:34:22ZengDalat UniversityTạp chí Khoa học Đại học Đà Lạt0866-787X2025-05-0115310.37569/DalatUniversity.15.3.1413(2025)INVERSE VARIATIONAL INEQUALITIES AND SECOND-ORDER DYNAMICAL SYSTEMSQuoc Thanh Trinh0https://orcid.org/0009-0000-0635-5310Dalat University We consider the inverse variational inequality problem in finite-dimensional space and study its associated second-order dynamical system. In particular, we propose a second-order dynamical system whose trajectory converges exponentially to the solution of the inverse variational inequality problem under the Lipschitz continuous and strongly monotone condition. https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/1413Inverse variational inequalityLinear convergenceSecond-order dynamical system. |
| spellingShingle | Quoc Thanh Trinh INVERSE VARIATIONAL INEQUALITIES AND SECOND-ORDER DYNAMICAL SYSTEMS Tạp chí Khoa học Đại học Đà Lạt Inverse variational inequality Linear convergence Second-order dynamical system. |
| title | INVERSE VARIATIONAL INEQUALITIES AND SECOND-ORDER DYNAMICAL SYSTEMS |
| title_full | INVERSE VARIATIONAL INEQUALITIES AND SECOND-ORDER DYNAMICAL SYSTEMS |
| title_fullStr | INVERSE VARIATIONAL INEQUALITIES AND SECOND-ORDER DYNAMICAL SYSTEMS |
| title_full_unstemmed | INVERSE VARIATIONAL INEQUALITIES AND SECOND-ORDER DYNAMICAL SYSTEMS |
| title_short | INVERSE VARIATIONAL INEQUALITIES AND SECOND-ORDER DYNAMICAL SYSTEMS |
| title_sort | inverse variational inequalities and second order dynamical systems |
| topic | Inverse variational inequality Linear convergence Second-order dynamical system. |
| url | https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/1413 |
| work_keys_str_mv | AT quocthanhtrinh inversevariationalinequalitiesandsecondorderdynamicalsystems |