Seminar: Nonsmooth Nearly Convex Optimization Problems and Applications in Robustness

Thời gian: 14:00 đến 16:00 Ngày 22/06/2026

Địa điểm: Phòng B102, VIASM

Báo cáo viên: ThS. Vũ Hồng Quân, Trường Đại học Kỹ thuật Công nghiệp, Đại học Thái Nguyên 

Tóm tắt: This paper deals with nearly convex optimization problems in the face of data uncertainty within the framework of robust optimization. Specifically, we investigate optimality conditions for nonsmooth robust optimization problems with nearly convex data. To do so, we first examine the rule for computing the subdifferential of the maximum of nearly convex functions. As an application, we study an optimization problem under uncertainty in which the involved functions are nearly convex and derive necessary and sufficient conditions for solutions to the corresponding strictly robust counterpart problem. These are the main results of this paper. The paper presents several numerical examples illustrating the results as well.