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Uniform convergence of Schwarz method for variational inequalities
Schwarz method Variational inequalities L∞-error estimates
2010/9/20
In this paper we study variational inequalities using the Schwarz method. The main idea of this method consists in decomposing the domain in two subdomains. We give a simple proof for the main result ...
Numerical results of convergence rates in regularization for ill-posed mixed variational inequalities
Monotone operators hemi-continuous strictly convex Banach space
2010/9/10
In this note some numerical experiments to illustration for convergence rates of regularized solution for ill-posed inverse-strongly monotone mixed variational inequalities are presented.
Finite dimensional approximations for mixed variational inequalities with J-pseudomonotone operators
Uniformly smooth Banach space mixed variational inequalities
2010/9/14
In this paper, we construct and study the convergence of the finite dimensional approximation for the mixed variational inequalities with Jpseudomonotone operators and convex nondifferentiable functio...
The stability and on essential components of the solution set of generalized quasi-variational inequalities
generalized quasi-variational inequalities stability
2010/9/10
In this work, we consider firstly the existence of the solution of generalized quasi-variational inequalities;secondly,we discuss the stability and on essential components of it’s solution set.
A Hybrid Inertial Projection-Proximal Method for Variational Inequalities
Maximal monotone operators Weak convergence Proximal point algorithm Hybrid projection-proximal method Resolvent inertial proximal point scheme
2008/7/3
The hybrid proximal point algorithm introduced by Solodov and Svaiter allowing significant relaxation of the tolerance requirements imposed on the solution of proximal subproblems will be combined wit...
General System of Strongly Pseudomonotone Nonlinear Variational Inequalities Based on Projection Systems
Strongly pseudomonotone mappings Approximation solvability Projection methods System of nonlinear variational inequalities
2008/7/1
General System of Strongly Pseudomonotone Nonlinear Variational Inequalities Based on Projection Systems.
Generalized Auxiliary Problem Principle and Solvability of a Class of Nonlinear Variational Inequalities Involving Cocoercive and Co-Lipschitzian Mappings
Generalized auxiliary variational inequality problem Cocoercive mappings Approximation-solvability Approximate solutions Partially relaxed monotone mappings
2008/7/1
Generalized Auxiliary Problem Principle and Solvability of a Class of Nonlinear Variational Inequalities Involving Cocoercive and Co-Lipschitzian Mappings.
Generalized Nonlinear Mixed Quasi-Variational Inequalities Involving Maximal $\eta$-Monotone Mappings
Mixed quasi-variational inequality Maximal $eta$-monotone mapping Resolvent operator Convergence stability
2008/7/1
In this paper, we introduce and study a new class of generalized nonlinear mixed quasi-variational inequalities involving maximal -monotone mapping. Using the resolvent operator technique for maximal ...
Generalized Quasi-Variational Inequalities and Duality
Generalized quasi-variational inequality Primal and dual problems Generalized Kuhn-Tucker conditions Banach space Social Nash equilibrium Subdifferential
2008/7/1
We present a scheme which associates to a generalized quasi-variational inequality a dual problem and generalized Kuhn-Tucker conditions.
This scheme allows to solve the primal and the dual problems ...
Minty Variational Inequalities and Monotone Trajectories of Differential Inclusions
Minty variational inequalities differential inclusions monotone trajectories slow solutions
2008/6/30
In [8] the notion of ``projected differential equation'' has been introduced and the stability of solutions has been studied by means of Stampacchia type variational inequalities. More recently, in [2...
On a Noncoercive System of Quasi-Variational Inequalities Related to Stochastic Control Problems
Quasi-variational inequalities Contraction Fixed point finite element Error estimate
2008/6/27
On a Noncoercive System of Quasi-Variational Inequalities Related to Stochastic Control Problems.
Relatively $B$-Pseudomonotone Variational Inequalities Over Product of Sets
Variational inequalities System of variational inequalities Relatively $B$-pseudomonotone maps Coincidence point
2008/6/27
In this paper, we consider variational inequality problem over the product of sets which is equivalent to the problem of system of variational inequalities. These two problems are studied for single v...
Piecewise Solutions of Evolutionary Variational Inequalities. Application to Double-Layered Dynamics Modelling of Equilibrium Problems
Evolutionary variational inequalities Projected dynamical systems Equilibrium
2008/6/27
This paper presents novel results about the structure of solutions for certain evolutionary variational inequality problems. We show that existence of piecewise solutions is dependant upon the form of...
Pointwise Error Estimate for a Noncoercive System of Quasi-Variational Inequalities Related to The Management of Energy Production
Quasi-Variational Inequalities Subsolutions Finite Elements $L^{infty}$-Error Estimate
2008/6/27
Pointwise Error Estimate for a Noncoercive System of Quasi-Variational Inequalities Related to The Management of Energy Production.
Predictor-Corrector Methods for Generalised General Multivalued Mixed Quasi Variational Inequalities
Variational inequalities Auxiliary principle Predictor-corrector method Convergence
2008/6/27
In this paper, a class of generalized general mixed quasi variational inequalities is introduced and studied. We prove the existence of the solution of the auxiliary problem for the generalized gener...