Constraint Qualifications and Proper Pareto Optimality Conditions for Multiobjective Problems with Equilibrium Constraints
Constraint Qualifications and Proper Pareto Optimality Conditions for Multiobjective Problems with Equilibrium Constraints
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DOI：
10.1007/s10957-018-1235-3
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发表时间：
2018-03
影响因子：
1.9
通讯作者：
P. Zhang;Jin Zhang;G. Lin;Xinmin Yang
中科院分区：
文献类型：
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作者：
P. Zhang;Jin Zhang;G. Lin;Xinmin Yang
本文考虑一类带平衡约束的多目标问题。我们的第一个任务是扩展现有的约束资格的数学问题的平衡约束从单目标的情况下，多目标的情况下，我们的第二个任务是得到一些平稳性条件下适当的Pareto意义下考虑的问题。在此基础上，我们致力于研究扩展约束条件和适当的帕累托平稳性条件之间的关系。
In this paper, we consider a class of multiobjective problems with equilibrium constraints. Our first task is to extend the existing constraint qualifications for mathematical problems with equilibrium constraints from the single-objective case to the multiobjective case, and our second task is to derive some stationarity conditions under the proper Pareto sense for the considered problem. After doing that, we devote ourselves to investigating the relationships among the extended constraint qualifications and the proper Pareto stationarity conditions.