On the existence of Pareto solutions for polynomial vector optimization problems

Do Sang Kim, Tien-Son Pham, Nguyen Van Tuyen

We are interested in the existence of Pareto solutions to the vector optimization problem $${\text{Min}}_{{\mathbb{R}}_{+}^m}\{f(x)|x\in {\mathbb{R}}^n\},$$ where $f\colon\mathbb{…