
Journal of Convex Analysis 16 (2009), No. 3, 10031009 Copyright Heldermann Verlag 2009 Regular Maximal Monotone Multifunctions and Enlargements Andrei Verona Dept. of Mathematics, California State University, Los Angeles, CA 90032, U.S.A. averona@calstatela.edu Maria Elena Verona Dept. of Mathematics, University of Southern California, Los Angeles, CA 900891113, U.S.A. verona@usc.edu We use recent results concerning the sum theorem for maximal monotone multifunctions in general Banach spaces to find new characterizations and properties of regular maximal monotone multifunctions and then use these to describe the domain of certain enlargements. Keywords: Maximal monotone multifunctions, regular maximal monotone multifunctions, enlargements of maximal monotone multifunctions. MSC: 47H05, 49J52, 47N10 [ Fulltextpdf (98 KB)] for subscribers only. 