Rates of asymptotic regularity for the alternating Halpern-Mann iteration
Optimization and Control
2023-02-28 v2
Abstract
In this paper we extend to -hyperbolic spaces the quantitative asymptotic regularity results for the alternating Halpern-Mann iteration obtained by Dinis and the second author for CAT(0) spaces. These results are new even for uniformly convex normed spaces. Furthermore, for a particular choice of the parameter sequences, we compute linear rates of asymptotic regularity in -hyperbolic spaces and quadratic rates of - and -asymptotic regularity in CAT(0) spaces.
Keywords
Cite
@article{arxiv.2206.02226,
title = {Rates of asymptotic regularity for the alternating Halpern-Mann iteration},
author = {Laurentiu Leustean and Pedro Pinto},
journal= {arXiv preprint arXiv:2206.02226},
year = {2023}
}