A note on the connectedness of the efficient frontier

Abstract The aim of this paper is to study sufficient conditions for the connectedness of the efficient frontier. We propose an unifying approach, based on a new regularity concept, which allows to generalize the results in [1, 6]. Connectedness results are studied for both V-compact and not V-compact sets. The obtained results are finally used to study the connectedness of the efficient frontier of continuous multiobjective functions.