PIMS-CORDS SFU Operations Research Seminar: Shawn Wang

Firmly nonexpansive operators are important in Convex Analysis and Optimization and Algorithms. It is a special case of averaged operators. We classify averaged operators, firmly nonexpansive operators, and proximal mappings by the BBW modulus of averagedness. One amazing result is that a proximal mapping of a convex function has its modulus of averagedness less than $1/2$ if and only if the function is Lipschitz smooth. Joint work with Shuang Song.