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arXiv · 2206.02226

Rates of asymptotic regularity for the alternating Halpern-Mann iteration

Laurentiu Leustean·Pedro Pinto
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Abstract

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.

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Laurentiu Leustean, Pedro Pinto. 2022-06-05. Rates of asymptotic regularity for the alternating Halpern-Mann iteration. https://arxiv.org/abs/2206.02226

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