In this paper we present two main situations when the limit of Pareto minima of a sequence of perturbations of a set-valued map F is a critical point of F. The concept of criticality is understood in the Fermat generalized sense by means of limiting (Mordukhovich) coderivative. Firstly, we consider perturbations of enlargement type which, in particular, cover the case of perturbation with dilating cones. Secondly, we present the case of Aubin type perturbations, and for this we introduce and study a new concept of openness with respect to a cone.

中文翻译：

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集值优化问题中帕累托效率的敏感性

在本文中，我们提出了两种主要情况时帕累托最小值的一组值地图扰动序列的极限˚F是一个临界点˚F。关键性的概念是通过有限（Mordukhovich）代码衍生词在费马广义上理解的。首先，我们考虑扩大型摄动，特别是用扩张锥遮盖摄动的情况。其次，我们介绍了Aubin型摄动的情况，为此，我们引入并研究了关于圆锥体的开放性的新概念。