Title: Optimality Conditions at Infinity for Nonsmooth Minmax Programming Problems with Applications
Reporter: Professor Do Sang Kim
Institution: Pukyong National University, South Korea
Time: June 11, 2025, 15:00-17:00
Location: Seminar Room 4, 3rd Floor, Mathematics Building
Abstract:
In this talk, we focus on the study of optimality conditions at infinity in nonsmooth minimax programming problems and their applications. By employing the limiting subdifferential and the normal cone at infinity, we derive necessary and sufficient optimality conditions of the Karush-Kuhn-Tucker (KKT) type for constrained nonsmooth minimax programming problems. The obtained results are applied to nonsmooth vector optimization problems and robust minimax optimization problems.
Introduction of the Reporter:
Do Sang Kim is a Professor at Pukyong National University, South Korea, and has been a visiting scholar in Italy and the United States. For many years, he has been dedicated to research in multi-objective optimization, generalized convex analysis, and variational analysis. He has published over 100 high-quality papers in leading optimization journals, including Mathematical Programming, Mathematics of Operations Research, and Journal of Optimization Theory and Applications. Currently, he serves as an editorial board member for academic journals such as the Journal of Nonlinear and Convex Analysis.
Professor Kim has led several major academic projects in South Korea, including the BK21 (Brain Korea 21) and BK21+ (Brain Korea 21 Program of Leading Universities & Students) initiatives, as well as individual research grants from the National Research Foundation of Korea. In recognition of his groundbreaking research achievements, he has received numerous awards, such as the Busan Science and Technology Award and the Special Contribution Award/Education Award from the Korean Mathematical Society.
