New Demiclosedness Principles for (Firmly) Nonexpansive Operators

Host Institution:

The University of Newcastle

Title of Seminar:

New Demiclosedness Principles for (Firmly) Nonexpansive Operators

Speaker's Name:

Prof. Heinz Bauschke

Speaker's Institution:

UBC Okanagan

Time and Date:

9:30am, Thursday 14th April 2011

Seminar Abstract:

The demiclosedness principle is one of the key tools in nonlinear analysis and fixed point theory. In this talk, this principle is extended and made more flexible by two mutually orthogonal affine subspaces. Versions for finitely many (firmly) nonexpansive operators are presented. As an application, a simple proof of the weak convergence of the Douglas-Rachford splitting algorithm is provided.

Seminar Convenor:

 

AGR IT support: