Some results on an infinite family of nonexpansive mappings and an inverse-strongly monotone mapping in Hilbert spaces
type: Item
instance of: scholarly article
title: Some results on an infinite family of nonexpansive mappings and an inverse-strongly monotone mapping in Hilbert spaces
zbMATH Open document ID: 1296.47070
DOI: 10.1155/2012/893635
author: Peng Cheng
author: Anshen Zhang
published in: Abstract and Applied Analysis
publication date: 2013-02-04T00:00:00Z
review text: Summary: We study the problem of approximating a common element in the common fixed point set of an infinite family of nonexpansive mappings and in the solution set of a variational inequality involving an inverse-strongly monotone mapping based on a viscosity approximation iterative method. Strong convergence theorems to common elements are established in the framework of Hilbert spaces.
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H05
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 47J20
zbMATH DE Number: 6134185
zbMATH Keywords: common fixed point
zbMATH Keywords: nonexpansive mapping
zbMATH Keywords: variational inequality
zbMATH Keywords: inverse-strongly monotone mapping
zbMATH Keywords: viscosity approximation
zbMATH Keywords: iterative method
zbMATH Keywords: strong convergence
zbMATH Keywords: Hilbert space
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/893635
OpenAlex ID: W2158664283
Wikidata QID: Q58697034
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description: scientific article; zbMATH DE number 6134185