Artículo
Firmly nonexpansive mappings in classes of geodesic spaces
Autor/es | Ariza Ruiz, David
Leustean, Laurentiu López Acedo, Genaro |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2014 |
Fecha de depósito | 2016-06-22 |
Publicado en |
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Resumen | Firmly nonexpansive mappings play an important role in metric fixed point theory and optimization due to their correspondence with maximal monotone operators. In this paper we do a thorough study of fixed point theory and ... Firmly nonexpansive mappings play an important role in metric fixed point theory and optimization due to their correspondence with maximal monotone operators. In this paper we do a thorough study of fixed point theory and the asymptotic behaviour of Picard iterates of these mappings in different classes of geodesic spaces, such as (uniformly convex) W-hyperbolic spaces, Busemann spaces and CAT(0) spaces. Furthermore, we apply methods of proof mining to obtain effective rates of asymptotic regularity for the Picard iterations. |
Identificador del proyecto | FQM-3543
PN-II-ID-PCE-2011-3-0383 MTM2009-13997-C02-01 FQM-127 |
Cita | Ariza Ruiz, D., Leustean, L. y López Acedo, G. (2014). Firmly nonexpansive mappings in classes of geodesic spaces. Transactions of the American Mathematical Society, 366 (8), 4299-4322. |
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