Title: Subdifferentials at Infinity and Some Applications
Reporter: Nguyen Van Tuyen
Institution: Hanoi National University of Education (HNUE), Vietnam
Time: May 27, 2025, 16:00-17:00
Location: Tianyuan Seminar Room 4, 3rd Floor, Mathematics Building
Abstract:
In this talk, we discuss some properties of the limiting and singular subdifferentials at infinity for extended real-valued functions, as recently introduced by Kim, Nguyen, and Pham. We then present their applications in studying the existence of error bounds, optimality conditions, the weak sharp minima property at infinity, and solution stability under linear perturbations.
Introduction of the Reporter:
Nguyen Van Tuyen is a Professor and Doctoral Advisor at Hanoi National University of Education (HNUE), Vietnam. His research focuses on vector optimization theory and second-order variational analysis. He has published over 30 papers in leading optimization journals, including Mathematical Programming, SIAM Journal on Control and Optimization, Journal of Global Optimization, and Journal of Optimization Theory and Applications. Currently, he serves as the Vice Dean of the Faculty of Mathematics at HNUE and is an editorial board member of the SCI-indexed journal Optimization.
