Published June 22, 2016
| Version v1
Publication
Firmly nonexpansive mappings in classes of geodesic spaces
Description
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.
Abstract
Junta de AndalucíaAbstract
Romanian National Authority for Scientific ResearchAbstract
Dirección General de Enseñanza SuperiorAdditional details
Identifiers
- URL
- https://idus.us.es/handle/11441/42604
- URN
- urn:oai:idus.us.es:11441/42604