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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 ...
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.
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...
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.
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...
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 ...
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 ...
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...
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...
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.
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...

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