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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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DUAL VARIATIONAL INEQUALITIES FOR EXTREMAL EIGENVALUE PROBLEMS

IFAC Proceedings Volumes, 1977
Abstract Extremal eigenvalue problems arise in problems of determining stability condition for certain elastic systems subjected to periodic disturbances, and in certain structural design problems in mechanical engineering. In the stability problems the extreme eigenvalues represent boundaries on the domains of parametric stability. In the structural
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Variational inequalities and optimization problems

2016
The main purpose of this thesis is to study weakly sharp solutions of a variational inequality and its dual problem. Based on these, we present finite convergence algorithms for solving a variational inequality problem and its dual problem. We also construct the connection between variational inequalities and engineering problems.
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Global Method for Monotone Variational Inequality Problems with Inequality Constraints

Journal of Optimization Theory and Applications, 1997
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