In this paper we study stability issues for vectorial directional minima of sets and set-valued constrained optimization problems. In our work we consider several constructions and tools from interiority properties, enlargement of cones and the extremal principle to generalized Lipschitz properties. Our results complete the literature in this area of research, by proposing a different set of hypotheses for getting the stability of efficiency and preservation of criticality under perturbations.

中文翻译：

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定向集值优化问题中极小值和临界值的稳定性

在本文中，我们研究了集合的矢量方向极小值的稳定性问题和集合值约束优化问题。在我们的工作中，我们考虑了几种构造和工具，从内部特性，圆锥体的扩大和极值原理到广义Lipschitz特性。我们的结果通过提出一组不同的假设来获得扰动下的效率稳定性和关键性保留，从而完善了该研究领域的文献。