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Title: RATES OF ASYMPTOTIC REGULARITY OF THE TIKHONOV-MANN ITERATION FOR FAMILIES OF MAPPINGS.
Authors: CHEVAL, HORATIU
Abstract: 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 Leustean and the author on the Tikhonov-Mann iteration from single mappings to families of mappings.
Subjects: HILBERT space; GENERALIZATION
Publication: Romanian Journal of Pure & Applied Mathematics / Revue Roumaine de Mathematiques Pures et Appliquees, 2024, Vol 69, Issue 3/4, p415
ISSN: 0035-3965
Publication type: Academic Journal
DOI: 10.59277/RRMPA.2024.415.431

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RATES OF ASYMPTOTIC REGULARITY OF THE TIKHONOV-MANN ITERATION FOR FAMILIES OF MAPPINGS.