The purpose of this paper is to estimate the approximate solutions for variational inequalities. In terms of estimate functions, we establish some estimates of the sizes of the approximate solutions from outside and inside respectively. By considering the behaviors of estimate functions, we give...

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 three classes of increasing-along-rays maps. We investigate the relations between increasing-along-rays property and star- shaped vector optimization. We also study well-posedness issues in star-shaped vector optimizations associated with increasing-along-rays maps....