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arXiv · 1309.6402

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

Heinz H. Bauschke·Jiawei Chen·Xianfu Wang
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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.

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Heinz H. Bauschke, Jiawei Chen, Xianfu Wang. 2013-09-25. A Bregman projection method for approximating fixed points of quasi-Bregman nonexpansive mappings. https://arxiv.org/abs/1309.6402

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