ON GENERALIZED VECTOR VARIATIONAL-LIKE INEQUALITIES AND VECTOR OPTIMIZATION PROBLEMS

In this paper, some solution relationships between nonsmooth vector optimization problems and generalized vector variational-like inequalities are established under pseudoinvexity or invariant pseudomonotonicity. A perturbed generalized weak Stampacchia vector variational-like inequality problem and its relation with generalized weak Minty vector variational-like inequality problem are also presented.