%0 Journal Article
%T On a strong covering property of multivalued mappings
%A A. Uderzo
%J Mathematics
%D 2015
%I arXiv
%X In this paper, a strong variant for multivalued mappings of the well-known property of openness at a linear rate is studied. Among other examples, a simply characterized class of closed convex processes between Banach spaces, which satisfies such a covering behaviour, is singled out. Equivalent reformulations of this property and its stability under Lipschitz perturbations are investigated in a metric space setting. Applications to the solvability of set-valued inclusions and to the exact penalization of optimization problems with set-inclusion constraints are discussed.
%U http://arxiv.org/abs/1512.03634v1