| Optimality Conditions and Lagrange Duality for a Class of Vector Extremum Problems |
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| 作者姓名： | Wang Qi-Lin LI Ze-min |
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| 摘 要： | A sufficient and necessary optimality conditions is established for vector extremum problems with set constraint by applying the alternative theorem under generalized subconvexlike maps in orderd locally-convex Hausdorff spaces. Then, several optimality conditions are obtained for differentiable vector extremum problems with set constraint by applying the sufficient and necessary optimality conditions and the properties of the twice G-differentiable functions. And finally, the vector-valued Lagrange duality is obtained for the vector extremum problems.
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| 关 键 词： | generalized subconvexlike alternative theorem optimality conditions vector-valued Lagrange duality |
| 修稿时间： | 1/6/2005 12:00:00 AM |
Optimality Conditions and Lagrange Duality for a Class of Vector Extremum Problems |
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| Wang Qi-Lin,LI Ze-min.Optimality Conditions and Lagrange Duality for a Class of Vector Extremum Problems[J].Storage & Process,2005(6):106-109. |
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| Authors: | Wang Qi-Lin LI Ze-min |
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| Abstract: | A sufficient and necessary optimality conditions is established for vector extremum problems with set constraint by applying the alternative theorem under generalized subconvexlike maps in orderd locally-convex Hausdorff spaces. Then, several optimality conditions are obtained for differentiable vector extremum problems with set constraint by applying the sufficient and necessary optimality conditions and the properties of the twice G-differentiable functions. And finally, the vector-valued Lagrange duality is obtained for the vector extremum problems. |
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| Keywords: | generalized subconvexlike alternative theorem optimality conditions vector-valued Lagrange duality |
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