On sufficiency for mathematical programming problems with equilibrium constraints
In this paper, we consider a mathematical programming with equilibrium constraints (MPEC) where the objective and constraint functions are continuously differentiable. We establish the sufficient optimality condition for strict local minima of order m under the assumptions of generalized strong...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Belgrade
2013-01-01
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| Series: | Yugoslav Journal of Operations Research |
| Subjects: | |
| Online Access: | http://www.doiserbia.nb.rs/img/doi/0354-0243/2013/0354-02431300021M.pdf |
| _version_ | 1818556928443285504 |
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| author | Mishra S.K. Pandey Yogendra |
| author_facet | Mishra S.K. Pandey Yogendra |
| author_sort | Mishra S.K. |
| collection | DOAJ |
| description | In this paper, we consider a mathematical programming with equilibrium constraints (MPEC) where the objective and constraint functions are continuously differentiable. We establish the sufficient optimality condition for strict local minima of order m under the assumptions of generalized strong convexity of order m. |
| first_indexed | 2024-12-13T23:53:32Z |
| format | Article |
| id | doaj.art-de2035d5be344e2cbe3d9785e2653415 |
| institution | Directory Open Access Journal |
| issn | 0354-0243 1820-743X |
| language | English |
| last_indexed | 2024-12-13T23:53:32Z |
| publishDate | 2013-01-01 |
| publisher | University of Belgrade |
| record_format | Article |
| series | Yugoslav Journal of Operations Research |
| spelling | doaj.art-de2035d5be344e2cbe3d9785e26534152022-12-21T23:26:42ZengUniversity of BelgradeYugoslav Journal of Operations Research0354-02431820-743X2013-01-0123217318210.2298/YJOR130207021MOn sufficiency for mathematical programming problems with equilibrium constraintsMishra S.K.Pandey YogendraIn this paper, we consider a mathematical programming with equilibrium constraints (MPEC) where the objective and constraint functions are continuously differentiable. We establish the sufficient optimality condition for strict local minima of order m under the assumptions of generalized strong convexity of order m.http://www.doiserbia.nb.rs/img/doi/0354-0243/2013/0354-02431300021M.pdfmathematical programming with equilibrium constraintsufficient optimality conditionhigher-order strong convexity |
| spellingShingle | Mishra S.K. Pandey Yogendra On sufficiency for mathematical programming problems with equilibrium constraints Yugoslav Journal of Operations Research mathematical programming with equilibrium constraint sufficient optimality condition higher-order strong convexity |
| title | On sufficiency for mathematical programming problems with equilibrium constraints |
| title_full | On sufficiency for mathematical programming problems with equilibrium constraints |
| title_fullStr | On sufficiency for mathematical programming problems with equilibrium constraints |
| title_full_unstemmed | On sufficiency for mathematical programming problems with equilibrium constraints |
| title_short | On sufficiency for mathematical programming problems with equilibrium constraints |
| title_sort | on sufficiency for mathematical programming problems with equilibrium constraints |
| topic | mathematical programming with equilibrium constraint sufficient optimality condition higher-order strong convexity |
| url | http://www.doiserbia.nb.rs/img/doi/0354-0243/2013/0354-02431300021M.pdf |
| work_keys_str_mv | AT mishrask onsufficiencyformathematicalprogrammingproblemswithequilibriumconstraints AT pandeyyogendra onsufficiencyformathematicalprogrammingproblemswithequilibriumconstraints |