FARKAS-TYPE RESULTS FOR NONCONVEX SYSTEMS INVOLVING COMPOSITE FUNCTIONS WITH APPLICATIONS
A new kind of closedness conditions (CC) is introduced. Several Farkas-type results and their characterisations for nonconvex systems involving DC and composite functions are established under/via this condition. As applications, the results are applied to get optimality conditions, duality results...
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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/194 |
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| _version_ | 1832557723221229568 |
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| author | Nguyễn Định Trần Hồng Mơ |
| author_facet | Nguyễn Định Trần Hồng Mơ |
| author_sort | Nguyễn Định |
| collection | DOAJ |
| description | A new kind of closedness conditions (CC) is introduced. Several Farkas-type results and their characterisations for nonconvex systems involving DC and composite functions are established under/via this condition. As applications, the results are applied to get optimality conditions, duality results for classes of DC/convex problems. |
| format | Article |
| id | doaj-art-b91bc3070d204244b1b1de7da33cda41 |
| 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-b91bc3070d204244b1b1de7da33cda412025-02-03T03:14:12ZengDalat UniversityTạp chí Khoa học Đại học Đà Lạt0866-787X2012-06-012210.37569/DalatUniversity.2.2.194(2012)FARKAS-TYPE RESULTS FOR NONCONVEX SYSTEMS INVOLVING COMPOSITE FUNCTIONS WITH APPLICATIONSNguyễn Định0Trần Hồng Mơ1International University, Vietnam National University - Ho Chi Minh CityTien Giang UniversityA new kind of closedness conditions (CC) is introduced. Several Farkas-type results and their characterisations for nonconvex systems involving DC and composite functions are established under/via this condition. As applications, the results are applied to get optimality conditions, duality results for classes of DC/convex problems.https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/194Alternative theoremsFarIas-type results for nonconvex systemsDC optimisation problemsToland-Fencbel-Lagrange dualityFenchel-Lagrange dualityLagrange duality. |
| spellingShingle | Nguyễn Định Trần Hồng Mơ FARKAS-TYPE RESULTS FOR NONCONVEX SYSTEMS INVOLVING COMPOSITE FUNCTIONS WITH APPLICATIONS Tạp chí Khoa học Đại học Đà Lạt Alternative theorems FarIas-type results for nonconvex systems DC optimisation problems Toland-Fencbel-Lagrange duality Fenchel-Lagrange duality Lagrange duality. |
| title | FARKAS-TYPE RESULTS FOR NONCONVEX SYSTEMS INVOLVING COMPOSITE FUNCTIONS WITH APPLICATIONS |
| title_full | FARKAS-TYPE RESULTS FOR NONCONVEX SYSTEMS INVOLVING COMPOSITE FUNCTIONS WITH APPLICATIONS |
| title_fullStr | FARKAS-TYPE RESULTS FOR NONCONVEX SYSTEMS INVOLVING COMPOSITE FUNCTIONS WITH APPLICATIONS |
| title_full_unstemmed | FARKAS-TYPE RESULTS FOR NONCONVEX SYSTEMS INVOLVING COMPOSITE FUNCTIONS WITH APPLICATIONS |
| title_short | FARKAS-TYPE RESULTS FOR NONCONVEX SYSTEMS INVOLVING COMPOSITE FUNCTIONS WITH APPLICATIONS |
| title_sort | farkas type results for nonconvex systems involving composite functions with applications |
| topic | Alternative theorems FarIas-type results for nonconvex systems DC optimisation problems Toland-Fencbel-Lagrange duality Fenchel-Lagrange duality Lagrange duality. |
| url | https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/194 |
| work_keys_str_mv | AT nguyenđinh farkastyperesultsfornonconvexsystemsinvolvingcompositefunctionswithapplications AT tranhongmo farkastyperesultsfornonconvexsystemsinvolvingcompositefunctionswithapplications |