Strong convergence of an implicit iteration algorithm for a finite family of pseudocontractive mappings
type: Item
instance of: scholarly article
title: Strong convergence of an implicit iteration algorithm for a finite family of pseudocontractive mappings
zbMATH Open document ID: 1149.47058
DOI: 10.1155/2008/280908
author: Yonghong Yao
author: Yeong-Cheng Liou
published in: Journal of Inequalities and Applications
publication date: 2008-08-19T00:00:00Z
full work available at URL: https://eudml.org/doc/129361
review text: In order to approximate a common fixed point of a finite family \(\{T_i\}_{i=1}^N\) of pseudocontractive self-mappings, the authors consider a viscosity type iterative scheme of the form \[ x_n=\alpha_n f(x_{n-1})+\beta_n x_{n-1}+\gamma_n T_n x_n,\quad n\geq 1, \] where \(T_n=T_{n \bmod N}\). A convergence theorem (Theorem 3.1) is the main result of the paper, which contains as particular cases some previous results from literature.
reviewed by: Vasile Berinde
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 5313231
zbMATH Keywords: Banach space
zbMATH Keywords: pseudocontractive mapping
zbMATH Keywords: implicit iteration algorithm
zbMATH Keywords: finite family
zbMATH Keywords: common fixed point
zbMATH Keywords: convergence theorem
zbMATH Keywords: viscosity type scheme
Wikidata QID: Q59216519
MaRDI profile type: Publication
OpenAlex ID: W2117258560
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description: scientific article; zbMATH DE number 5313231