SMS scnews item created by Andrew Mathas at Mon 13 Oct 2014 1556
Modified: Mon 13 Oct 2014 1557
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: firstname.lastname@example.org (assumed)
An additive subfamily of enlargements of a maximally monotone operator
A/Prof Regina Burachik (University of South Australia)
University of South Australia
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.
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