Department of Mathematics, Brock University, St. Catharines, Ontario, Canada L2S 3A1 ; CERMSEM, Université de Paris I, 106-112 Bd de l'Hopital, 75013 Paris, France ; CNRS-CEPREMAP, 140 rue du Chevaleret, 75013 Paris, France
Abstract:
We present a simple and direct proof for a Leray-Schauder type alternative for a large class of condensing or compact set-valued maps containing convex as well as nonconvex maps.