Constraint Qualifications and Proper Pareto Optimality Conditions for Multiobjective Problems with Equilibrium Constraints

被引：0
|
作者：
Peng Zhang
Jin Zhang
Gui-Hua Lin
Xinmin Yang
机构：
[1] Shanghai University,School of Management
[2] Hong Kong Baptist University,Department of Mathematics
[3] Chongqing Normal University,College of Mathematics Science
来源：
Journal of Optimization Theory and Applications | 2018年 / 176卷
关键词：
Multiobjective problem with equilibrium constraints; Constraint qualification; Proper Pareto stationarity condition; 90C29; 90C33; 90C46;
D O I：
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学科分类号：
摘要：
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.
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页码：763 / 782
页数：19
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