SMS scnews item created by Andrew Mathas at Mon 13 Oct 2014 1556
Type: Seminar
Modified: Mon 13 Oct 2014 1557
Distribution: World
Expiry: 15 Oct 2014
Calendar1: 15 Oct 2014 1000-1100
CalLoc1: AGR Seminar
CalTitle1: AGR Seminar: An additive subfamily of enlargements of a maximally monotone operator
Auth: mathas@pmathas2.pc (assumed)

# An additive subfamily of enlargements of a maximally monotone operator

### A/Prof Regina Burachik (University of South Australia)

Host venue
University of South Australia

Abstract

We introduce a subfamily of enlargements of a maximally monotone operator T . Our definition is inspired by a 1988 publication of Fitzpatrick. These enlargements are elements of the family of enlargements $$E(T)$$ introduced by Svaiter in 2000. These new enlargements share with the ε-subdifferential a special additivity property, and hence they can be seen as structurally closer to the ε-subdifferential. For the case $$T = \delta f$$, we prove that some members of the subfamily are smaller than the $$\varepsilon$$-subdifferential enlargement. In this case, we construct a specific enlargement which coincides with the $$\varepsilon$$ -subdifferential.

Seminar convenor
Yalcin Kaya

--

If you would like to attend this seminar in our access grid room then please book the access grid room referring to this scnews item. Please liaise with the host institution to make any necessary arrangements and then send an email to accessgridroom@maths.usyd.edu.au to let the CSOs know of any special requirements for the seminar.

If you are registered you may mark the scnews item as read.
School members may try to .