Rates of asymptotic regularity for the alternating Halpern-Mann iteration

Autor:	Leustean, Laurentiu, Pinto, Pedro
Rok vydání:	2022
Předmět:	Mathematics - Optimization and Control 47J25 47H09 03F10
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2206.02226 Zobrazit plný text záznamu View this record from Arxiv