Second order duality for multiobjective programming with cone constraints

Second order duality for multiobjective programming with cone constraints
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具有圆锥约束的多目标规划的二阶对偶性

DOI:
10.1007/s11425-016-5147-0
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发表时间:
2016-05
期刊:
Science China Mathematics
影响因子:
--
通讯作者:
Yang XinMin
Yang XinMin
中科院分区:
其他
文献类型:
--
作者:
Tang LiPing;Yan Hong;Yang XinMin

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我们关注一类受锥约束的多目标规划问题的二阶对偶性。构建了四种类型的二阶对偶模型。根据广义凸性建立了弱对偶定理和强对偶定理。
We focus on second order duality for a class of multiobjective programming problem subject to cone constraints. Four types of second order duality models are formulated. Weak and strong duality theorems are established in terms of the generalized convexity, respectively. Converse duality theorems, essential parts of duality theory, are presented under appropriate assumptions. Moreover, some deficiencies in the work of Ahmad and Agarwal (2010) are discussed.
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