Characterization of the Robust Isolated Calmness for a Class of Conic Programming Problems
研究了一类锥规划问题在局部最优解处KKT解映射的鲁棒孤立平静性，证明该性质等价于严格Robinson约束条件和二阶充分条件同时成立。
This paper is devoted to studying 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 second order sufficient condition is needed for the KKT solution mapping to have the Aubin property.