Characterization of the Robust Isolated Calmness for a Class of Conic Programming Problems
主 题: Characterization of the Robust Isolated Calmness for a Class of Conic Programming Problems
报告人: Prof. Chao Ding (Chinese Academy of Sciences)
时 间: 2016-04-07 10:00-11:00
地 点: 北京国际数学研究中心全29教室
In this talk, we study the robust isolated calmness of the Karush-Kuhn-Tucker (KKT) solution mapping for a large class of interesting conic programming problems (including most commonly known ones arising from applications) at a locally optimal solution. Under the Robinson constraint qualification, we show that the KKT solution mapping is robustly isolated calm if and only if both the strict Robinson constraint qualification and the second order sufficient condition hold. This implies, among others, that at a locally optimal solution the constraint non-degeneracy and the second order sufficient condition are both needed for the KKT solution mapping to have the Aubin property. Finally, as a simple corollary, we establish a sufficient condition of the error bound of the conic programming problems.
