arXiv:2304.11366 Abstract | arXiv Analytics

arXiv:2304.11366 [math.OC]Abstract References Reviews Resources

Rates of asymptotic regularity of the Tikhonov-Mann iteration for families of mappings

Published 2023-04-22Version 1

In this paper we generalize the strongly convergent Krasnoselskii- Mann-type iteration for families of nonexpansive mappings defined recently by Bo\c{t} 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 generalizes recent results by Leu\c{s}tean and the author on the Tikhonov-Mann iteration from single mappings to families of mappings.

Categories: math.OC

Subjects: 47J25, 47H09

Keywords: asymptotic regularity, tikhonov-mann iteration, hyperbolic spaces, hilbert spaces, single mappings

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