The purpose of this paper is devoted to the least element problems of feasible sets for vector complementarity problems under certain conditions. We generalize the notion of a Z-map due to Riddell to the set-valued case. Some conditions of the feasible set being a sublattice are presented and...

In this paper, we consider a more general form of weak vector variational inequalities and prove some results on the existence of solutions of our new class of weak vector variational inequalities in the setting of Hausdorff topological vector topological space. We also discuss the connectedness...

The purpose of this paper is devoted to the least element problems of feasible sets for vector complementarity problems under certain conditions. We generalize the notion of a Z-map due to Riddell to the set-valued case. Some conditions of the feasible set being a sublattice are presented and...

In this paper, we consider a more general form of weak vector variational inequalities and prove some results on the existence of solutions of our new class of weak vector variational inequalities in the setting of Hausdorff topological vector topological space. We also discuss the connectedness...

In this paper we introduce notions of well-posedness for a vector optimization problem and for a vector variational inequality of differential type, we study their basic properties and we establish the links among them. The proposed concept of well-posedness for a vector optimization problem...