CARMA COLLOQUIUM Speaker: Julian Revalski, Laboratoire de Mathématiques Informatique et Applications (LAMIA), Université des Antilles et de la Guyane Title: Regularization procedures for monotone operators Location: Room V205, Mathematics Building (Callaghan Campus) The University of Newcastle Time and Date: 11:00 am, Fri, 20th Aug 2010 Abstract: In this talk we will focus our attention on certain regularization techniques related to two operations involving monotone operators: point-wise sums of maximal monotone operators and pre-compositions of such operators with linear continuous mappings. These techniques, whose underlying idea is to obtain a bigger operator as a result, lead to two concepts of generalized operations--extended and variational sums of maximal monotone operators and, the corresponding to them, extended and variational compositions of monotone mappings with linear continuous operators. We will revue some of the basic results concerning these generalized concepts, as well as will present some recent important advances. [Permanent link]