Results 171 to 180 of about 1,959 (215)
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Solvability of Variational Inequality Problems
Journal of Optimization Theory and Applications, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Han, J. +2 more
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Generalized Quasi-Variational-Like Inequality Problem [PDF]
Mathematics of Operations Research, 1993 This paper gives some very general results on the generalized quasi-variational-like inequality problem. Since the problem includes all the existing extensions of the classical variational inequality problem as special cases, our existence theorems extend the previous results in the literature by relaxing both continuity and concavity of the ...
Guoqiang Tian
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Random Variational Inequality and Complementarity Problem
OPSEARCH, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nanda, S., Pani, S.
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On Optimization Problems with Variational Inequality Constraints
SIAM Journal on Optimization, 1994In 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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Variational Inequality Problems
2012The 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 +4 more
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An Outer Approximation Method for the Variational Inequality Problem
SIAM Journal on Control and Optimization, 2005Summary: 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 +2 more
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On Vector Implicit Variational Inequalities and Complementarity Problems
Journal of Global Optimization, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nan-Jing Huang, Jun Li 0012
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On variational inequalities for auction market problems
Optimization Letters, 2006zbMATH 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), 2010Unlike 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 inequalities and optimization problems
2007In 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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