Journal Home Page Cumulative Index List of all Volumes Complete Contentsof this Volume Previous Article Journal of Convex Analysis 16 (2009), No. 3, 713--725Copyright Heldermann Verlag 2009 On Two Properties of Enlargements of Maximal Monotone Operators Radu Ioan Bot Faculty of Mathematics, University of Technology, 09107 Chemnitz, Germany radu.bot@mathematik.tu-chemnitz.de Ernö Robert Csetnek Faculty of Mathematics, University of Technology, 09107 Chemnitz, Germany robert.csetnek@mathematik.tu-chemnitz.de [Abstract-pdf] We give an answer to an open problem regarding the full enlargeability of a maximal monotone operator $S:X\rightrightarrows X^*$ by $S^{se}$, the smallest enlargement belonging to a certain class of enlargements associated to $S$. Moreover, we prove the weak$^*$ closedness of the set $S_{h_S}(\varepsilon_1,x)+T_{h_T} (\varepsilon_2,x)$ under a weak generalized interior regularity condition. Keywords: Monotone operator, Fitzpatrick function, representative function, enlargement, subdifferential. MSC: 47H05, 46N10, 42A50 [ Fulltext-pdf  (157  KB)] for subscribers only.