Quantitative asymptotic regularity results for the composition of two mappings

In this paper, we use techniques which originate from proof mining to give rates of asymptotic regularity and metastability for a sequence associated to the composition of two firmly nonexpansive mappings.

Bibliographic Details
Authors: Kohlenbach, Ulrich Wilhelm, López Acedo, Genaro, Nicolae, Adriana
Format: article
Status:Versión enviada para evaluación y publicación
Publication Date:2016
Country:España
Institution:Universidad de Sevilla (US)
Repository:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/47057
Online Access:http://hdl.handle.net/11441/47057
https://doi.org/10.1080/02331934.2016.1200577
Access Level:Open access
Keyword:Firmly nonexpansive mappings
Asymptotic regularity
Convex optimization
CAT(0) space
Description
Summary:In this paper, we use techniques which originate from proof mining to give rates of asymptotic regularity and metastability for a sequence associated to the composition of two firmly nonexpansive mappings.