报告地点：行健楼学术活动室665
邀请人：孙海琳教授
摘要：We perform sensitivity analysis for the maximal value function which is the optimal value function for a parametric maximization problem. Our first result is the continuity of the maximal value function under the restricted sup-compactness condition and the Robinson stability at one single optimal solution. Our second goal is to study various subdifferentials for the maximal value function. We obtain upper estimates of Fr\'{e}chet, limiting, and horizon subdifferentials of the maximal value function by using some sensitivity analysis techniques sophisticatedly. Our derived upper estimates depend only on one optimal solution. Finally, we apply the derived results to develop some new necessary optimality conditions for nonconvex minimax problems.
报告人简介：郭磊，华东理工大学研究员。2013年获得大连理工大学运筹学与控制论专业博士学位；2013-2015年在上海交通大学做师资博士后研究；2015-2019年任职于上海交通大学，任助理研究员、副研究员；2019年起入职华东理工大学，任研究员。研究兴趣为双层规划与均衡模型的理论与方法及其在交通科学与供应链管理中的应用。截至目前共发表论文近30篇，其中在Mathematical Programming、Mathematics of Operations Research、SIAM系列期刊、Transportation Research Part B等国际权威期刊发表论文10余篇。入选国家青年高层次人才计划；完成或正在主持国家自科基金项目3项，省部级基金项目3项；作为骨干成员参与国家自科基金重点项目2项。
