ABSTRACT

Epi-convergence plays an important role when studying the behaviour of a set optimization problem under variations of its data. In this paper, we obtain properties for this notion and compare it with other convergence notions for set-valued maps that have been used recently to study the stability of set optimization problems.

中文翻译：

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关于集值映射的表观收敛

摘要

Epi-convergence 在研究一组优化问题在其数据变化下的行为时起着重要作用。在本文中，我们获得了该概念的属性，并将其与最近用于研究集优化问题稳定性的集值映射的其他收敛概念进行了比较。