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首页> 外文期刊>Minimax theory and its applications >An Application of the Tarski-Seidenberg Theorem with Quantifiers to Vector Variational Inequalities
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An Application of the Tarski-Seidenberg Theorem with Quantifiers to Vector Variational Inequalities

机译：Tarski-Seidenberg定理的应用程序变分与量词向量不平等

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摘要

We study the connectedness structure of the proper Pareto solution sets, the Pareto solution sets, the weak Pareto solution sets of polynomial vector variational inequalities, as well as the connectedness structure of the efficient solution sets and the weakly efficient solution sets of polynomial vector optimization problems. By using the Tarski-Seidenberg Theorem with quantifiers, we are able to prove that these solution sets are semi-algebraic without imposing the Mangasarian-Fromovitz constraint qualification on the system of constraints.
机译：我们的联系结构适当的学习帕累托解集,帕累托解集,弱帕累托解集的多项式向量变分不等式,以及连通性的结构效率的解决方案集和的弱有效解集多项式向量优化问题。量词的Tarski-Seidenberg定理,我们能够证明这些解决方案集semi-algebraic没有实施Mangasarian-Fromovitz约束条件上系统的约束。

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