In this note we present a barrier method for vector optimization problems with inequality constraints. To this aim, we firstly investigate some constraint qualification conditions and we compare them to the corresponding ones in literature. Then, we define a barrier function and observe that its basic properties do work for fairly general situations, while for meaningful convergence results of the associated barrier method we should restrict ourselves to convex case and finite dimensional setting.

中文翻译：

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具有广义不等式约束的凸向量优化中的障碍方法

在本说明中，我们提出了一种针对不等式约束的向量优化问题的屏障方法。为此，我们首先研究一些约束条件，并将其与文献中的条件进行比较。然后，我们定义了一个障碍函数，并观察到它的基本属性在相当普遍的情况下确实起作用，而对于相关障碍方法的有意义的收敛结果，我们应该将自己限制在凸格和有限维设置上。