Strong complementary approximate Karush-Kuhn-Tucker conditions for multiobjective optimization problems
In this paper, we establish strong complementary approximate Karush- Kuhn-Tucker (SCAKKT) sequential optimality conditions for multiobjective optimization problems with equality and inequality constraints without any constraint qualifications and introduce a weak constraint qualification which assur...
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| Format: | Article |
| Language: | English |
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University of Belgrade
2022-01-01
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| Series: | Yugoslav Journal of Operations Research |
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| Online Access: | http://www.doiserbia.nb.rs/img/doi/0354-0243/2022/0354-02432100024M.pdf |
| _version_ | 1818042320371580928 |
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| author | Maurya Jitendra Kumar Mishra Shashi Kant |
| author_facet | Maurya Jitendra Kumar Mishra Shashi Kant |
| author_sort | Maurya Jitendra Kumar |
| collection | DOAJ |
| description | In this paper, we establish strong complementary approximate Karush- Kuhn-Tucker (SCAKKT) sequential optimality conditions for multiobjective optimization problems with equality and inequality constraints without any constraint qualifications and introduce a weak constraint qualification which assures the equivalence between SCAKKT and the strong Karush-Kuhn-Tucker (J Optim Theory Appl 80 (3): 483-500, 1994) conditions for multiobjective optimization problems. |
| first_indexed | 2024-12-10T08:44:27Z |
| format | Article |
| id | doaj.art-c4e97e2fff8442f9a4dfdbc855fc6c75 |
| institution | Directory Open Access Journal |
| issn | 0354-0243 1820-743X |
| language | English |
| last_indexed | 2024-12-10T08:44:27Z |
| publishDate | 2022-01-01 |
| publisher | University of Belgrade |
| record_format | Article |
| series | Yugoslav Journal of Operations Research |
| spelling | doaj.art-c4e97e2fff8442f9a4dfdbc855fc6c752022-12-22T01:55:46ZengUniversity of BelgradeYugoslav Journal of Operations Research0354-02431820-743X2022-01-0132221923410.2298/YJOR210315024M0354-02432100024MStrong complementary approximate Karush-Kuhn-Tucker conditions for multiobjective optimization problemsMaurya Jitendra Kumar0Mishra Shashi Kant1Department of Mathematics, Institute of Science, Banaras Hindu university, Varanasi, IndiaDepartment of Mathematics, Institute of Science, Banaras Hindu university, Varanasi, IndiaIn this paper, we establish strong complementary approximate Karush- Kuhn-Tucker (SCAKKT) sequential optimality conditions for multiobjective optimization problems with equality and inequality constraints without any constraint qualifications and introduce a weak constraint qualification which assures the equivalence between SCAKKT and the strong Karush-Kuhn-Tucker (J Optim Theory Appl 80 (3): 483-500, 1994) conditions for multiobjective optimization problems.http://www.doiserbia.nb.rs/img/doi/0354-0243/2022/0354-02432100024M.pdfmultiobjective programmingapproximate karush-kuhn-tucker conditionsnonlinear programmingsequential optimality conditions |
| spellingShingle | Maurya Jitendra Kumar Mishra Shashi Kant Strong complementary approximate Karush-Kuhn-Tucker conditions for multiobjective optimization problems Yugoslav Journal of Operations Research multiobjective programming approximate karush-kuhn-tucker conditions nonlinear programming sequential optimality conditions |
| title | Strong complementary approximate Karush-Kuhn-Tucker conditions for multiobjective optimization problems |
| title_full | Strong complementary approximate Karush-Kuhn-Tucker conditions for multiobjective optimization problems |
| title_fullStr | Strong complementary approximate Karush-Kuhn-Tucker conditions for multiobjective optimization problems |
| title_full_unstemmed | Strong complementary approximate Karush-Kuhn-Tucker conditions for multiobjective optimization problems |
| title_short | Strong complementary approximate Karush-Kuhn-Tucker conditions for multiobjective optimization problems |
| title_sort | strong complementary approximate karush kuhn tucker conditions for multiobjective optimization problems |
| topic | multiobjective programming approximate karush-kuhn-tucker conditions nonlinear programming sequential optimality conditions |
| url | http://www.doiserbia.nb.rs/img/doi/0354-0243/2022/0354-02432100024M.pdf |
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