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1 Inequalities in a Variational Problem
1967Publisher Summary The frequent occurrence of optimization problems with bounded state and control variables has revived the interest in the old subject of inequalities in the calculus of variations. This chapter discusses the inequalities in the problem of Lagrange, illustrated by two examples.
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Equilibrium Problems and Variational Inequalities
2006We 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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Relationships between vector variational-like inequality and optimization problems
European Journal of Operational Research, 2004Rafaela Osuna-Gómez +2 more
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Necessary Optimality Conditions for Optimization Problems with Variational Inequality Constraints
Mathematics of Operations Research, 1997Jane Ye
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On vector variational-like inequality problems
Journal of Mathematical Analysis and Applications, 2005M A Noor
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A new alternating direction method for co-coercive variational inequality problems
Computers and Mathematics With Applications, 2009Deren Han, Wenxing Zhang
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