In this talk, we discuss a conical extension of averaged non-expansive operators and its role in convergence analysis of fixed point algorithms. In particular, we study various properties, for example, stability under relaxations, convex combinations and compositions of conically averaged operators. We then utilize such properties in order to analyze the convergence of proximal point algorithm, forward-backward algorithm, and the adaptive Douglas-Rachford algorithm. This talk is based on joint work with Sedi Bartz and Minh Dao.


Time: Friday Jan 13, 09:00 AM- 10:00 AM, Eastern Time (US and Canada)
Zoom Link: https://umich.zoom.us/j/92332350184?pwd=c1hJZmRlcGV5VVJWRTJwRDhTdTFVZz09 
Meeting ID: 923 3235 0184
Passcode: 123456

The Seminar organization: Anthony Bloch, Boris Mordukhovich, Nguyen-Truc-Dao Nguyen