Results 121 to 130 of about 1,949 (160)

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
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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
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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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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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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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Nonsmooth problems; variational inequalities

2012
Many problems in physics and in other applications cannot be formulated as equations but have some more complicated structure, usually of a so-called complementarity problem. From the abstract viewpoint, the equations are replaced by inclusions involving set-valued mappings.
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