报告人：Duong Thi Viet An 博士

报告题目： Optimality conditions based on the Fréchet second-order subdifferential

报告摘要：This paper focuses on second-order necessary optimality conditions for constrained optimization problems on Banach spaces. For problems in the classical setting, where the objective function is C2-smooth, we show that strengthened second-order necessary optimality conditions are valid if the constraint set is generalized polyhedral convex. For problems in a new setting, where the objective function is just assumed to be C1-smooth and the constraint set is generalized polyhedral convex, we establish sharp second-order necessary optimality conditions based on the Fréchet second-order subdifferential of the objective function and the second-order tangent set to the constraint set. Three examples are given to show that the used hypotheses are essential for the new theorems. Our second-order necessary optimality conditions refine and extend several existing results.

报告人简介：Dr. Duong Thi Viet An obtained her Ph.D in 2018 at Vietnam Academy of Science and Technology (VAST). Now, She is a postdoc researcher at Hangzhou Dianzi University. She received the prize for International publication in prestigious ISI journals in 2020 from Thai Nguyen University Oct. 2020, the prize from “National Program for the Development of Mathematics until 2020 (NPDM)” of the year 2020 for the paper “Differential stability of a class of convex optimal control problems" Nov. 2019, and the Award of Vietnam Journal of Mathematics for papers of high quality in 2017.

讲座时间：2021年11月3号上午：11点-12点

讲座地点：勤园21号楼304