含参向量优化问题有效解映射的平静性

Calmness of efficient solution maps for parametric vector optimization problems

本文在一般的Banach空间中讨论了一类含参向量优化问题有效解映射的稳定性.不同于以往常用的借助Fréchet上导数或者极限上导数来讨论平静性的充分条件的方法,本文利用现代变分分析技术以及图导数给出了一种新的关于此类含参向量优化问题有效解映射在给定点具有平静性的充分条件.

This paper is devoted to discuss the stability of the efficient solution map of a parametric vec- tor optimization problem in general Banach spaces. Utilizing the modern variational analysis techniques and graphical derivative, we get a new sufficient condition of the calmness of the solution map for the parametric vector optimization problem. This wag is different from the usual way by using the Fr6chet and limiting coderivatives.