Results 221 to 230 of about 2,551 (262)

Variational Inequality Problems

2012
The purpose of this chapter is to explain variational inequality (VI) formulations of equilibrium problems, and the close connection of a VI problem to an equivalent complementarity problem. There are sometimes advantages to a VI formulation compared to a complementarity formulation: the complementarity formulation has primal decision variables, and ...
Steven A. Gabriel, Antonio J. Conejo, J. David Fuller, Benjamin F. Hobbs, Carlos Ruiz   +4 more
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An Outer Approximation Method for the Variational Inequality Problem

SIAM Journal on Control and Optimization, 2005
Summary: We study two outer approximation schemes, applied to the variational inequality problem in reflexive Banach spaces. First we propose a generic outer approximation scheme, and its convergence analysis unifies a wide class of outer approximation methods applied to the constrained optimization problem.
Regina Sandra Burachik, J. O. Lopes, Benar Fux Svaiter   +2 more
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On Vector Implicit Variational Inequalities and Complementarity Problems

Journal of Global Optimization, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nan-Jing Huang, Jun Li 0012
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Variational inequalities and optimization problems

2007
In this paper we survey the relationships between scalar and vector variational inequalities (of differential type) and the underlying optimizationproblem. We show that the variational inequalities of Stampacchia type can be viewed as necessary optimality conditions, while the variational inequalities of Minty type can be considered as sufficient ...
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On variational inequalities for auction market problems

Optimization Letters, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Variational inequalities for the stochastic reachability problem

49th IEEE Conference on Decision and Control (CDC), 2010
Unlike the pure discrete or continuous cases, for stochastic hybrid systems the reachability analysis is still a difficult problem. The early mathematical approaches to the stochastic reachability turned out into constructive verification methods with tool support from dynamic programming.
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Pseudomonotone variational inequality problems: Existence of solutions

Mathematical Programming, 1997
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Variational inequality problems in finance

SCIENTIA SINICA Mathematica, 2023
Min Dai, Heqing Huang, Shuaijie Qian
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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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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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