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Effective results on compositions of nonexpansive mappings |
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| Authors: | Laurenţiu Leuştean Adriana Nicolae |
| Affiliation: | 1. Simion Stoilow Institute of Mathematics of the Romanian Academy, Research unit 5, P.O. Box 1-764, RO-014700 Bucharest, Romania;2. Department of Mathematics, Babe?-Bolyai University, Kog?lniceanu 1, 400084 Cluj-Napoca, Romania;3. Simion Stoilow Institute of Mathematics of the Romanian Academy, Research group of the project PD-3-0152, P.O. Box 1-764, RO-014700 Bucharest, Romania |
| Abstract: | This paper provides uniform bounds on the asymptotic regularity for iterations associated to a finite family of nonexpansive mappings. We obtain our quantitative results in the setting of (r,δ)-convex spaces, a class of geodesic spaces which generalizes metric spaces with a convex geodesic bicombing. |
| Keywords: | Effective rates of asymptotic regularity Proof mining Families of nonexpansive mappings Halpern iteration Convex geodesic bicombing |
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