System of nonlinear set-valued variational inclusions involving a finite family of \(H(\cdot, \cdot)\)-accretive operators in Banach spaces
type: Item
instance of: scholarly article
title: System of nonlinear set-valued variational inclusions involving a finite family of \(H(\cdot, \cdot)\)-accretive operators in Banach spaces
zbMATH Open document ID: 1252.49024
DOI: 10.1155/2012/560248
author: Prapairat Junlouchai
author: Somyot Plubtieng
published in: Journal of Applied Mathematics
publication date: 2012-11-15T00:00:00Z
review text: Summary: We study a new system of nonlinear set-valued variational inclusions involving a finite family of \(H(\cdot, \cdot)\)-accretive operators in Banach spaces. By using the resolvent operator technique associated with a finite family of \(H(\cdot, \cdot)\)-accretive operators, we prove the existence of the solution for the system of nonlinear set-valued variational inclusions. Moreover, we introduce a new iterative scheme and prove a strong convergence theorem for finding solutions for this system.
Mathematics Subject Classification ID: 49J53
Mathematics Subject Classification ID: 47H06
zbMATH DE Number: 6106245
zbMATH Keywords: nonlinear set-valued variational inclusions
zbMATH Keywords: finite family of \(H(\cdot, \cdot)\)-accretive operators
zbMATH Keywords: resolvent operator technique
Wikidata QID: Q58906132
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/560248
OpenAlex ID: W2018651692
cites work: A perturbed algorithm for variational inclusions
cites work: Perturbed algorithms and sensitivity analysis for a general class of variational inclusions
cites work: Perturbed proximal point algorithms for generalized quasivariational inclusions
cites work: Mann and Ishikawa type perturbed iterative algorithms for generalized quasivariational inclusions
cites work: A fixed point theorem and its applications to a system of variational inequalities
cites work: System of vector equilibrium problems and its applications
cites work: Weak convergence theorems for a system of mixed equilibrium problems and nonspreading mappings in a Hilbert space
cites work: On the existence result for system of generalized strong vector quasiequilibrium problems
cites work: Existence of solutions of systems of generalized implicit vector quasi-equilibrium problems in \(G\)-convex spaces
cites work: \(A\)-monotonicity and applications to nonlinear variational inclusion problems
cites work: A New System of Set-valued Variational Inclusions with H-Monotone Operators
cites work: A viscosity approximation method for finding common solutions of variational inclusions, equilibrium problems, and fixed point problems in Hilbert spaces
cites work: General nonlinear variational inclusion problems involving A-monotone mappings
cites work: Nonlinear relaxed cocoercive variational inclusions involving \((A,\eta)\)-accretive mappings in Banach spaces
cites work: Approximation solvability of a class of nonlinear set-valued variational inclusions involving \((A,\eta )\)-monotone mappings
cites work: \(H(\cdot ,\cdot )\)-accretive operator with an application for solving variational inclusions in Banach spaces
cites work: A new system of variational inclusions involving \(H(\cdot ,\cdot )\)-accretive operator in Banach spaces
cites work: Inequalities in Banach spaces with applications
cites work: A new system of variational inclusions with \((H,\eta)\)-monotone operators in Hilbert spaces
cites work: Multi-valued contraction mappings
description: scientific article; zbMATH DE number 6106245