Strong convergence for a strongly quasi-nonexpansive sequence in Hilbert spaces
type: Item
instance of: scholarly article
title: Strong convergence for a strongly quasi-nonexpansive sequence in Hilbert spaces
zbMATH Open document ID: 1381.47060
DOI: 10.1155/2013/174302
author: Satit Saejung
author: Kanokwan Wongchan
published in: Abstract and Applied Analysis
publication date: 2014-06-20T00:00:00Z
review text: Summary: We prove a strong convergence theorem for strongly quasi-nonexpansive sequence of mappings in Hilbert spaces. Moreover, we can improve the recent results of \textit{M. Tian} and \textit{X. Jin} [Fixed Point Theory Appl. 2011, Paper No. 88, 8 p. (2011; Zbl 1271.47063)]. We also give a simple proof of \textit{G. Marino} and \textit{H.-K. Xu}'s result [J. Math. Anal. Appl. 318, No. 1, 43--52 (2006; Zbl 1095.47038)].
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 6306096
Wikidata QID: Q58915432
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/174302
OpenAlex ID: W2042246561
cites work: Viscosity approximation methods for fixed-points problems
cites work: The viscosity approximation process for quasi-nonexpansive mappings in Hilbert spaces
cites work: Viscosity approximation methods for nonexpansive mappings
cites work: Moudafi's viscosity approximations with Meir--Keeler contractions
cites work: Fixed points of nonexpanding maps
cites work: Strong convergence theorems for resolvents of accretive operators in Banach spaces
cites work: Q4881791
cites work: Iterative approximation of fixed points of nonexpansive mappings
cites work: A sufficient and necessary condition for Halpern-type strong convergence to fixed points of nonexpansive mappings
cites work: Halpern's iteration in Banach spaces
cites work: Q4163944
cites work: A limit theorem for projections
cites work: On the strong convergence of viscosity approximation process for quasinonexpansive mappings in Hilbert spaces
cites work: The hybrid steepest descent method for the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings
cites work: Strong convergent result for quasi-nonexpansive mappings in Hilbert spaces
cites work: A general iterative method for quasi-nonexpansive mappings in Hilbert space
cites work: Q3322631
cites work: On Maingé's approach for hierarchical optimization problems
cites work: Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
cites work: A general iterative method for nonexpansive mappings in Hilbert spaces
description: scientific article; zbMATH DE number 6306096