1 citations · 2 across the 11 of their papers we have counts for
10 papers · 1 filter
On types of KKT points in polynomial optimization
Feng Guo, Do Sang Kim, Liguo Jiao +1
Let be a real polynomial function with variables and be a basic closed semialgebraic set in . In this paper, we are interested in the problem of identifying…
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…
Error bounds of regularized gap functions for polynomial variational inequalities
Dinh Bui Van, Tien-Son Pham
This paper is devoted to present new error bounds of regularized gap functions for polynomial variational inequalities with exponents explicitly determined by the dimension of the…
Complementary problems with polynomial data
Tien-Son Pham, Canh Hung Nguyen
Given polynomial maps we consider the {\em polynomial complementary problem} of finding a vector such that \begin{…
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…
Tangencies and Polynomial Optimization
Tien-Son Pham
Given a polynomial function and a unbounded basic closed semi-algebraic set in this paper we show that the…