4 papers · 1 filter
Existence theorems for optimal solutions in semi-algebraic optimization
Jae Hyoung Lee, Gue Myung Lee, Tien Son Pham
Consider the problem of minimizing a lower semi-continuous semi-algebraic function on an unbounded closed semi-algebraic set…
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…
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…
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…