In the present paper, we are concerned with a class of constrained vector optimization problems, where the objective functions and active constraint functions are locally Lipschitz at the referee point. Some second-order constraint qualifications of Zangwill type, Abadie type and Mangasarian–Fromovitz type as well as a regularity condition of Abadie type are proposed in a nonsmooth setting. The connections between these proposed conditions are established. They are applied to develop second-order Karush–Kuhn–Tucker necessary optimality conditions for local (weak, Geoffrion properly) efficient solutions to the considered problem. Examples are also given to illustrate the obtained results.

中文翻译：

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局部Lipschitz向量优化问题：二阶约束条件，正则条件和KKT必要最优条件

在本文中，我们关注一类约束向量优化问题，其中目标函数和主动约束函数在裁判点处为本地Lipschitz。在非光滑环境中，提出了一些Zangwill型，Abadie型和Mangasarian-Fromovitz型二阶约束条件以及Abadie型正则条件。这些建议条件之间的联系已建立。它们被用于开发二阶Karush-Kuhn-Tucker必要最优条件，用于局部（弱，Geoffrion）有效地解决所考虑的问题。还给出了示例来说明获得的结果。