Projection algorithms for the system of generalized mixed variational inequalities in Banach spaces
Applied Mathematics and Computation, 2011The essential aim of the present paper is to solve a system of generalized mixed variational inequalities without any monotonicity assumption for the mappings in Banach spaces. Formulation: Find \(x^*, y^* \in K\) such that there exist \(u^* \in T_1(y^*)\) and \(v^* \in T_2(x^*)\) satisfying \[ \begin{aligned} \langle u^* + Jx^* - Jy^*, y-x^* \rangle +
Qing-bang Zhang, Ru-liang Deng
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Parallel schemes for solving a system of extended general quasi variational inequalities
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Muhammad Aslam Noor +2 more
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Auxiliary problems and algorithm for a system of generalized variational-like inequality problems
Applied Mathematics and Computation, 2007The authors consider a system of generalized variational-like inequality problems involving nondifferentiable terms, and its related auxiliary problems in real Hilbert spaces. An existence theorem for auxiliary problems is established. An algorithm for the system of generalized variational-like inequality problems is constructed and its convergence is ...
Kaleem Raza Kazmi, Faizan Ahmad Khan
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Generalized system for relaxed cocoercive mixed variational inequalities in Hilbert spaces
Applied Mathematics and Computation, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhenhua He, Feng Gu
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Resolvent dynamical systems and mixed general variational inequalities
MATHEMATICAIn this paper, we introduce and study a new second order resolvent dynamical system associated with a class of mixed general variational inequalities. We suggest some new multi-step iterative methods for solving the mixed variational inequalities using the forward finite difference schemes.
MUHAMMAD ASLAM NOOR, KHALIDA INAYAT NOOR
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Generalized system for relaxed cocoercive variational inequalities in Hilbert spaces
Applicable Analysis, 2008In this article, we introduce and consider a general system of variational inequalities. Using the projection technique, we suggest and analyse new iterative methods for this system of variational inequalities. We also study the convergence analysis of the new iterative method under certain mild conditions.
Xiaolong Qin +2 more
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A generalized Schwarz method for systems of Quasi-variational inequalities
The Pečarić Journal of Mathematical InequalitiesWe study a coercive quasi-variational inequality (QVI) system and propose a generalized Schwarz method using finite element approximations. The discrete solution is iteratively constructed through monotone upper and lower sequences, and its convergence is rigorously established in the L infinity norm.
Chebbah Samar +2 more
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On stochastic fractional differential variational inequalities general system with Lévy jumps
Communications in Nonlinear Science and Numerical SimulationzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lu-Chuan Ceng +3 more
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Generalized system of variational inequalities governed by nonexpansive mappings
AIP Conference Proceedings, 2023openaire +1 more source
Dynamical Systems for Solving Variational Inequalities
Journal of Dynamical and Control Systems, 2022Ngoc Hai Trinh
exaly