On strong convergence by the hybrid method for families of mappings in Hilbert spaces
type: Item
instance of: scholarly article
title: On strong convergence by the hybrid method for families of mappings in Hilbert spaces
zbMATH Open document ID: 1162.49037
author: Kazuhide Nakajo
author: Kazuya Shimoji
author: Wataru Takahashi
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2009-06-09T00:00:00Z
Mathematics Subject Classification ID: 49M05
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 47H20
zbMATH DE Number: 5563014
zbMATH Keywords: strong convergence
zbMATH Keywords: hybrid method
zbMATH Keywords: \(W\)-mapping
zbMATH Keywords: asymptotically nonexpansive
zbMATH Keywords: asymptotically nonexpansive semigroup
MaRDI profile type: Publication
full work available at URL: j.na.2008.10.034
OpenAlex ID: W2054445465
cites work: Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
cites work: Q4801819
cites work: A Weak-to-Strong Convergence Principle for Fejér-Monotone Methods in Hilbert Spaces
cites work: A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
cites work: Nonexpansive retractions and nonlinear ergodic theorems in Banach spaces
cites work: Q4653163
cites work: Q5465194
cites work: Approximating fixed points of infinite nonexpansive mappings by the hybrid method
cites work: Strong convergence of modified Mann iterations for asymptotically nonexpansive mappings and semigroups
cites work: Demiclosedness principle and asymptotic behavior for asymptotically nonexpansive mappings
cites work: Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
cites work: Q4779602
cites work: Q4464223
cites work: Strong convergence theorems by the hybrid method for families of nonexpansive mappings in Hilbert spaces
cites work: Weak convergence of the sequence of successive approximations for nonexpansive mappings
cites work: Strong convergence of modified Ishikawa iteration for two asymptotically nonexpansive mappings and semigroups
cites work: Strong convergence to common fixed points of infinite nonexpansive mappings and applications
cites work: Strong convergence theorems for asymptotically nonexpansive semigroups in Hilbert spaces
cites work: Forcing strong convergence of proximal point iterations in a Hilbert space
cites work: A Nonlinear Ergodic Theorem for an Amenable Semigroup of Nonexpansive Mappings in a Hilbert Space
cites work: Weak and strong convergence theorems for families of nonexpansive mappings and their applications
cites work: Nonlinear functional analysis. Fixed point theory and its applications
cites work: Convex analysis \& approximation of fixed points
cites work: Fixed point theorems for Lipschitzian semigroups in Banach spaces
DOI: 10.1016/J.NA.2008.10.034
description: scientific article; zbMATH DE number 5563014