Optimality conditions for solutions of constrained inverse vector variational inequalities by means of nonlinear scalarization

被引：0
|
作者：
机构：
[1] Chen, Jia Wei
[2] Köbis, Elisabeth
[3] Köbis, Markus A.
[4] 4,Yao, Jen-Chih
来源：
Köbis, Elisabeth (elisabeth.koebis@mathematik.uni-halle.de) | 1600年 / Biemdas Academic Publishers卷 / 01期
基金：
中国博士后科学基金;
关键词：
Inverse vector variational inequality - Multi-objectives optimization - Multiobjective optimization problems - Nonlinear scalarization functions - Nonlinear separation - Nonlinear separation function - Optimality conditions - Scalarization - Separation functions - Vector variational inequalities;
D O I：
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学科分类号：
摘要：
This work is devoted to examining inverse vector variational inequalities with constraints by means of a prominent nonlinear scalarizing functional. We show that inverse vector variational inequalities are equivalent to multiobjective optimization problems with a variable domination structure. Moreover, we introduce a nonlinear function based on a well-known nonlinear scalarization function. We show that this function is a weak separation function and a regular weak separation function under different parameter sets. Then two alternative theorems are established, which will provide the basis for characterizing efficient elements of inverse vector variational inequalities. © 2017 Journal of Nonlinear and Variational Analysis
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