The \(p\)-step iterative algorithm for a system of generalized mixed quasi-variational inclusions with \((A,\eta )\)-accretive operators in \(q\)-uniformly smooth Banach spaces
type: Item
instance of: scholarly article
title: The \(p\)-step iterative algorithm for a system of generalized mixed quasi-variational inclusions with \((A,\eta )\)-accretive operators in \(q\)-uniformly smooth Banach spaces
zbMATH Open document ID: 1157.65038
author: Xieping Ding
author: Hairong Feng
published in: Journal of Computational and Applied Mathematics
publication date: 2008-08-22T00:00:00Z
review text: A new system of generalized mixed quasi-variational inclusions with \((A,\eta)\)-accretive operators in \(q\)-unifomly smooth Banach spaces, is introduced and studied. A new iterative algorithm is constructed for solving this system of generalized mixed quasi-variational inclusions in real \(q\)-uniformly smooth Banach spaces. Existence and convergence of the solutions are also proved. The results of the paper extend and improve some known results. The techniques involved in the paper will inspire and motivate to introduce and develop new mathematical models in other (related) cases of interests.
reviewed by: Akrur Behera
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 49J27
Mathematics Subject Classification ID: 49M15
zbMATH DE Number: 5315391
zbMATH Keywords: \(q\)-unifomly smooth Banach spaces
zbMATH Keywords: system of generalized mixed quasi-variational inclusions
zbMATH Keywords: (\(A, \eta \))-accretive operator
zbMATH Keywords: resolvent operator technique
zbMATH Keywords: \(p\)-step iterative algorithm
zbMATH Keywords: convergence
MaRDI profile type: Publication
full work available at URL: j.cam.2007.08.003
OpenAlex ID: W2059910147
cites work: Sensitivity analysis for a new system of generalized nonlinear mixed quasi-variational inclusions.
cites work: Iterative approximation of a solution of a general variational-like inclusion in Banach spaces
cites work: Existence and algorithm of solutions for generalized mixed implicit quasi-variational inequalities
cites work: Generalized quasi-variational-like inclusions with nonconvex functionals
cites work: \(H\)-monotone operator and resolvent operator technique for variational inclusions
cites work: \(H\)-accretive operators and resolvent operator technique for solving variational inclusions in Banach spaces.
cites work: Q4463121
cites work: Iterative algorithm for a system of variational inclusions involving \(H\)-accretive operators in Banach spaces
cites work: A new system of variational inclusions with \((H,\eta)\)-monotone operators in Hilbert spaces
cites work: Q4789424
cites work: Q4415431
cites work: An explicit projection method for a system of nonlinear variational inequalities with different \((\gamma ,r)\)-cocoercive mappings
cites work: Iterative approximation of a unique solution of a system of variational-like inclusions in real \(q\)-uniformly smooth Banach spaces
cites work: \((A,\eta )\)-Accretive mappings and set-valued variational inclusions with relaxed cocoercive mappings in Banach spaces
cites work: On multivalued nonlinear variational inclusion problems with \((A,\eta )\)-accretive mappings in Banach spaces
cites work: Nonlinear relaxed cocoercive variational inclusions involving \((A,\eta)\)-accretive mappings in Banach spaces
cites work: Multi-valued contraction mappings
cites work: Set-valued variational inclusions with \(T\)-accretive operators in Banach spaces
cites work: \(A\)-monotonicity and applications to nonlinear variational inclusion problems
cites work: General nonlinear variational inclusion problems involving A-monotone mappings
cites work: Inequalities in Banach spaces with applications
DOI: 10.1016/J.CAM.2007.08.003
description: scientific article; zbMATH DE number 5315391