A Bregman projection method for approximating fixed points of quasi-Bregman nonexpansive mappings
Functional Analysis
2013-09-26 v1 Optimization and Control
Abstract
We introduce an abstract algorithm that aims to find the Bregman projection onto a closed convex set. As an application, the asymptotic behaviour 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.
Keywords
Cite
@article{arxiv.1309.6402,
title = {A Bregman projection method for approximating fixed points of quasi-Bregman nonexpansive mappings},
author = {Heinz H. Bauschke and Jiawei Chen and Xianfu Wang},
journal= {arXiv preprint arXiv:1309.6402},
year = {2013}
}