# Rates of asymptotic regularity for the alternating Halpern-Mann iteration

arXiv: https://arxiv.org/abs/2206.02226 · HTML: https://mlsanity.com/paper/2206.02226/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 5 Jun 2022.

## Built on by (most cited first, 1 of 1)

- [Asymptotic regularity of a generalised stochastic Halpern scheme](https://mlsanity.com/paper/2411.04845/) (2024)

## Abstract (arXiv)

In this paper we extend to UCW-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 W-hyperbolic spaces and quadratic rates of T- and U-asymptotic regularity in CAT(0) spaces.