Rates of Asymptotic Regularity of Thetikhonov–mann Iteration for Families of Mappings

In this paper, we generalize the strongly convergent Krasnoselskii–Mann-type iteration for families of nonexpansive mappings defined recently by Bot¸ and Meier in Hilbert spaces to the abstract setting of W-hyperbolic spaces and we compute effective rates of asymptotic regularity for our generalization. This also extends recent results by Leu¸stean and the author on the Tikhonov–Mann iteration from single mappings to families of mappings.