On a result by Baillon, Bruck, and Reich
Functional Analysis
2024-04-09 v1 Optimization and Control
Abstract
It is well known that the iterates of an averaged nonexpansive mapping may only converge weakly to fixed point. A celebrated result by Baillon, Bruck, and Reich from 1978 yields strong convergence in the presence of linearity. In this paper, we extend this result to allow for flexible relaxation parameters. Examples are also provided to illustrate the results.
Cite
@article{arxiv.2404.04402,
title = {On a result by Baillon, Bruck, and Reich},
author = {Heinz H. Bauschke and Yuan Gao},
journal= {arXiv preprint arXiv:2404.04402},
year = {2024}
}