On Minty vector variational-like inequality

This paper is devoted to the study of relationships between solutions of Minty vector variational-like inequalities (MVVLI) and solutions of vector optimization problems (VOP), as well as some relations between solutions of MVVLI and Stampacchia vector variational-like inequalities (SVVLI). Moreover, some relations between MVVLI and perturbed vector variational-like inequalities are established. Our results generalize some known results.