We study a notion of well-posedness in vector optimization through the behaviour of minimizing sequences of sets, defined in terms of Hausdorff set-convergence. We show that the notion of strict efficiency is related to the notion of well-posedness. Using the obtained results we identify a class...

The aim of this paper is to develop a method of study of Tykhonov well-posedness notions for vector valued problems using a class of scalar problems. Having a vectorial problem, the scalarization technique we use allows us to construct a class of scalar problems whose well-posedness properties...

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....

We study a notion of well-posedness in vector optimization through the behaviour of minimizing sequences of sets, defined in terms of Hausdorff set-convergence. We show that the notion of strict efficiency is related to the notion of well-posedness. Using the obtained results we identify a class...

A class of scalarizations is studied in order to characterize weakly efficient, efficient and properly efficient points of a non convex vector problem.A parallelism is established between the different solutions of the scalarized problem and the various efficient frontiers.In particular,...

The aim of this paper is to develop a method of study of Tykhonov well-posedness notions for vector valued problems using a class of scalar problems. Having a vectorial problem, the scalarization technique we use allows us to construct a class of scalar problems whose well-posedness properties...

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....

We obtain the necessary and sufficient conditions of many kinds of proper efficiency in vector set-valued optimization by using the concept of contingent epiderivative introduced by Jahn and Rauh, also we disclose the closed relations between proper efficiency of vector set-valued optimization...

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...