论文标题
关于参数化设置值夹杂物的定量溶液稳定性
On the quantitative solution stability of parameterized set-valued inclusions
论文作者
论文摘要
本文的主题是溶液设置为设置值包含物的稳定性。后者是在强大的优化和数学经济学中出现的问题，无法在传统的广义方程式中施放。此处报道的分析重点是用于设定值映射的几种定量形式的半持续点，在各种分析中广泛研究，其中包括平静。在解决方案映射到参数化设置值包含的情况下，有足够的条件来发生这些特性。在参数优化的背景下，探索了最佳价值函数平静的后果。在Banach空间设置中，提供了一些用于分析足够条件的特定工具，以进行凹入数据。
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 data, are provided in a Banach space setting.
