Strong convergence theorems of a general iterative process for two nonexpansive mappings in Banach spaces
type: Item
instance of: scholarly article
zbMATH Open document ID: 1272.47085
author: Pongsakorn Sunthrayuth
author: Poom Kumam
publication date: 2012-09-14T00:00:00Z
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 46B10
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47H20
zbMATH DE Number: 6082793
zbMATH Keywords: common fixed points
zbMATH Keywords: nonexpansive mapping
zbMATH Keywords: strong convergence
zbMATH Keywords: smooth Banach spaces
zbMATH Keywords: iterative method
MaRDI profile type: Publication
title: Strong convergence theorems of a general iterative process for two nonexpansive mappings in Banach spaces
published in: Journal of Computational Analysis and Applications
review text: The authors extend a result of \textit{Y.-H. Yao}, \textit{M. A. Noor} and \textit{S. T. Mohyud-Din} [J. Appl. Math. Stochastic Anal. 2009, Article ID 320820 (2009; Zbl 1220.47137)] from Hilbert spaces to general Banach spaces. They introduce a general iterative scheme, under some mild conditions, to find a common fixed point of nonexpansive maps which is a unique solution of some variational inequality. The results are applied to solve some optimization problems.
description: scientific article; zbMATH DE number 6082793