The subject of the present paper are stability properties of the solution set to set-valued inclusions. The latter are problems emerging in robust optimization and mathematical economics, which can not be cast in traditional generalized equations. The analysis here reported focuses on several quantitative forms of semicontinuity for set-valued mappings, widely investigated in variational analysis, which include, among others, calmness. Sufficient conditions for the occurrence of these properties in the case of the solution mapping to a parameterized set-valued inclusion are established. Consequences on the calmness of the optimal value function, in the context of parametric optimization, are explored. Some specific tools for the analysis of the sufficient conditions, in the case of set-valued inclusion with concave multifunction term, are provided in a Banach space setting.

本文的主题是设置为集值包含物的解的稳定性。后者是鲁棒优化和数学经济学中出现的问题，这些问题无法用传统的广义方程式来解决。此处报告的分析着重于集值映射的几种半连续性定量形式，这些形式在变量分析中进行了广泛研究，其中包括镇定性。在解决方案映射到参数化集合值包含项的情况下，为这些属性的出现建立了充分条件。在参数优化的背景下，探索了最优值函数的平稳性的后果。在具有凹多功能项的集值包含的情况下，一些用于分析充分条件的特定工具，