Strong convergence theorems for the implicit iteration process for a finite family of hemicontractive mappings in Banach space
type: Item
instance of: scholarly article
title: Strong convergence theorems for the implicit iteration process for a finite family of hemicontractive mappings in Banach space
zbMATH Open document ID: 1179.47059
author: Huimin He
author: Xinshe Wang
author: Rudong Chen
author: Nenad P. Cakić
published in: Applied Mathematics Letters
publication date: 2010-01-29T00:00:00Z
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 5664417
zbMATH Keywords: fixed point
zbMATH Keywords: hemicontractive mappings
zbMATH Keywords: strong convergence
zbMATH Keywords: implicit iteration
zbMATH Keywords: Banach space
MaRDI profile type: Publication
full work available at URL: j.aml.2009.01.006
OpenAlex ID: W2003609290
cites work: AN IMPLICIT ITERATION PROCESS FOR NONEXPANSIVE MAPPINGS
cites work: CONVERGENCE OF IMPLICIT ITERATION PROCESS FOR A FINITE FAMILY OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN BANACH SPACES
cites work: Strong convergence of an implicit iteration process for a finite family of nonexpansive mappings
cites work: FIXED-POINT THEOREMS FOR NONCOMPACT MAPPINGS IN HILBERT SPACE
cites work: Comments on two fixed point iteration methods
cites work: Iterative construction of fixed points of asymptotically nonexpansive mappings
cites work: Nonlinear equations of evolution and nonlinear accretive operators in Banach spaces
cites work: Viscosity approximation of common fixed points of nonexpansive semigroups in Banach space
cites work: Convergence theorems of common fixed points for a finite family of Lipschitz pseudocontractions in Banach spaces
cites work: A simple proof of the mean ergodic theorem for nonlinear contractions in Banach spaces
cites work: Nonlinear functional analysis. Fixed point theory and its applications
DOI: 10.1016/J.AML.2009.01.006
description: scientific article; zbMATH DE number 5664417