Second-order necessary and sufficient conditions in multiobjective programming ∗
Second-order necessary and sufficient conditions in multiobjective programming ∗
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DOI：
10.1080/01630569108816425
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发表时间：
1991
影响因子：
1.2
通讯作者：
Shouyang Wang
中科院分区：
文献类型：
--
作者：
Shouyang Wang
本文研究了同时具有不等式约束和等式约束的多目标规划问题的二阶最优性条件。引入了两个弱二阶约束条件，并在此基础上导出了局部弱有效解的若干二阶必要条件。给出了两个二阶充分条件。
In this paper we study second-order optimality conditions for the multi-objective programming problems with both inequality constraints and equality constraints. Two weak second-order constraint qualifications are introduced, and based on them we derive several second-order necessary conditions for a local weakly efficient solution. Two second-order sufficient conditions are also presented.