On Vector Optimization Problems and Minty-type Vector Variational-like Inequalities

摘要

In this paper, we study the relationship between Minty-type vector variational-like inequality problem and vector optimization problem for nonconvex but differentiable functions. We also consider the Minty-type vector variational-like inequality problem for multivalued maps and establish its relationship with vector optimization problem for nondifferentiable and nonconvex functions.