Cyclic iterative method for strictly pseudononspreading in Hilbert space
type: Item
instance of: scholarly article
title: Cyclic iterative method for strictly pseudononspreading in Hilbert space
zbMATH Open document ID: 1325.47118
DOI: 10.1155/2012/435676
author: Bin-Chao Deng
author: Tong Chen
author: Zhifang Li
published in: Journal of Applied Mathematics
publication date: 2012-11-15T00:00:00Z
review text: Summary: Let \(\{T_i\}^N_{i=1}\) be \(N\) strictly pseudononspreading mappings defined on closed convex subset \(C\) of a real Hilbert space \(H\). Consider the problem of finding a common fixed point of these mappings and introduce cyclic algorithms based on general viscosity iteration method for solving this problem. We will prove the strong convergence of these cyclic algorithms. Moreover, the common fixed point is the solution of the variational inequality \(\langle(\gamma f - \mu B) x^\ast, v - x^\ast\rangle \leq 0, \forall v \in \bigcap^N_{i=1} F_{ix}(T_i)\).
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 6106212
zbMATH Keywords: general viscosity iteration method
zbMATH Keywords: strong convergence
Wikidata QID: Q58905884
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/435676
OpenAlex ID: W2094817756
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DBLP publication ID: journals/jam/DengCL12
description: scientific article; zbMATH DE number 6106212