Optimality Conditions for Vector Optimization of Set-valued Maps
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O224

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    Abstract:

    Kuhn Tucker optimality conditions and Lagrange multipliers for vector optimization problems with subconvexlike set valued maps wereestablished by Li zemin. Firstly, the concept of generalized subconvexlikeness for set valued maps is introduced in this paper. Then, a theorem of the alternative for generalized subconvexlike set valued maps in real linear spaces is established. Finally, the optimality conditions for vector optimization problems with set valued maps with equality and inequality constraints are obtained with it.

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周志昂 李泽民.线性空间中集值映射向量最优化的最优性条件[J].重庆大学学报,2003,26(3):32~

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