A Bregman projection method for approximating fixed points of quasi-Bregman nonexpansive mappings

Heinz H. Bauschke, Jiawei Chen, Xianfu Wang · Applicable Analysis · 2014

We introduce an abstract algorithm that aims to find the Bregman projection onto a closed convex set. As an application, the asymptotic behavior of an iterative method for finding a fixed point of a quasi-Bregman nonexpansive mapping with the fixed-point closedness property is analyzed. We also show that our result is applicable to Bregman subgradient projectors.

Read the paper · More papers on PaperTik