Strong convergence of iterative algorithm for a new system of generalized \(H(\cdots,\cdot)-\eta\)-cocoercive operator inclusions in Banach spaces
type: Item
instance of: scholarly article
title: Strong convergence of iterative algorithm for a new system of generalized \(H(\cdots,\cdot)-\eta\)-cocoercive operator inclusions in Banach spaces
zbMATH Open document ID: 1364.47010
DOI: 10.1155/2013/540108
author: Eskandar Naraghirad
author: Nawab Hussain
author: Saud M. Alsulami
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: We introduce and study a new system of generalized \(H(\cdots,\cdot)-\eta\)-cocoercive operator inclusions in Banach spaces. Using the resolvent operator technique associated with \(H(\cdots,\cdot)-\eta\)-cocoercive operators, we suggest and analyze a new generalized algorithm of nonlinear set-valued variational inclusions and establish strong convergence of iterative sequences produced by the method. We highlight the applicability of our results by examples in function spaces.
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47J22
Mathematics Subject Classification ID: 47H06
zbMATH DE Number: 6306988
zbMATH Keywords: \(\eta\)-cocoercive operator
zbMATH Keywords: set-valued variational inclusions
zbMATH Keywords: strong convergence
Wikidata QID: Q58917081
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/540108
OpenAlex ID: W2050280510
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description: scientific article; zbMATH DE number 6306988