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Unconstrained Optimization Reformulations of Variational Inequality Problems

Journal of Optimization Theory and Applications, 1997
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Yamashita, N., Taji, K., Fukushima, M.
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A hybrid method without extrapolation step for solving variational inequality problems

Journal of Global Optimization, 2015
In this paper, we introduce a new method for solving variational inequality problems with monotone and Lipschitz-continuous mapping in Hilbert space. The iterative process is based on well-known projection method and the hybrid (or outer approximation ...
Yura Malitsky, V. Semenov
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A general inertial projected gradient method for variational inequality problems

Computational and Applied Mathematics, 2021
Q. Dong, Songnian He, Lulu Liu
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Variance-Based Subgradient Extragradient Method for Stochastic Variational Inequality Problems

Journal of Scientific Computing, 2021
Zhen-Ping Yang   +3 more
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Inverse Problems for Variational Inequalities

1992
The problems of dynamical identification of the controls in parabolic variational inequalities are considered. A numerical solution methods are suggested.
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Tikhonov Regularization Methods for Variational Inequality Problems

Journal of Optimization Theory and Applications, 1999
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On Optimization Problems with Variational Inequality Constraints

SIAM Journal on Optimization, 1994
In a finite-dimensional space this paper studied a class of optimization problems subject to variational inequality constraints. In terms of results in nonsmooth analysis first-order necessary optimality conditions are derived for the cases that the set-valued mapping of the solution of the variational inequality constraints is differentiable or not ...
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Equilibrium Problems and Variational Inequalities

2006
We show that many equilibrium problems fulfill the common laws expressed by a set of conditions and that the equilibrium solution is obtained as a solution to a Variational Inequality. In particular we study the traffic equilibrium problem in the continuum case and we solve the problem to express this problem by means of a Variational Inequality.
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Result on Variational Inequality Problem

Sarajevo Journal of Mathematics
The aim of this paper is to present an improved and extended version of the variational inequality problem of Vetrivel and Nanda [7] by using a weaker condition in the topological vector space and without using the result of Lassonde [3].   1991 Mathematics Subject Classification.
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