Kính mời quý thầy cô, nghiên cứu sinh, học viên cao học các sinh viên quan tâm sắp xếp thời gian đến tham dự buổi seminar Lý thuyết Tối ưu với nội dung sau:
Báo cáo : Lagrange Multiplier Rules in Nonsmooth Robust Multiobjective Semi-Infinite Optimization Problems
Người trình bày: TS. Nguyễn Minh Tùng (Đại học KHTN - ĐHQG TPHCM)
Thời gian: Chủ nhật - 22.12.2019 - 09h30
Địa điểm: phòng B.37 - ĐH Khoa học Tự nhiên, 227 Nguyễn Văn Cừ, Quận 5, TpHCM
Abstract: In this talk, we consider a robust nonsmooth semi-infinite multiobjective optimization problem with uncertain data in terms of Clarke's subdifferential of locally Lipschitz functions. We propose some robust constraint qualifications. Then, we apply them to obtain some robust necessary optimality conditions for important robust solutions in the sense of weak Pareto, proper, and isolated solutions. Our conditions are Karush-Kuhn-Tucker multiplier rules. Besides, we also investigate the boundedness of these multiplier sets. Further, robust sufficient optimality conditions for these solutions are also derived under generalized convexity assumptions. Finally, some characterizations of solutions are formulated via a gap function associated with the given problem.