3 papers
math.OC2020
Openness, Holder metric regularity and Holder continuity properties of semialgebraic set-valued maps
Jae Hyoung Lee, Tien-Son Pham
Given a semialgebraic set-valued map with closed graph, we show that the map is Holder metrically subregular and that the…
math.OC2019
Polynomial mathematical programs with equilibrium constraints and semidefinite programming relaxations
Liguo Jiao, Jae Hyoung Lee, Tien-Son Pham
This paper focuses on the study of a mathematical program with equilibrium constraints, where the objective and the constraint functions are all polynomials. We present a method fo…
math.OC2019
Multi-objective convex polynomial optimization and semidefinite programming relaxations
Jae Hyoung Lee, Nithirat Sisarat, Liguo Jiao
This paper aims to find efficient solutions to a multi-objective optimization problem (MP) with convex polynomial data. To this end, a hybrid method, which allows us to transform p…