The theory of Vector Variational Inequalities can be based on the image space analysis and theorems of the alternative or separation theorems. Exploiting the separation approach for suitable approximations of the image associated to a Vector Variational Inequality, Lagrangian-type necessary optimality conditions are obtained. Applications to vector optimization problems and to vector traffic equilibria are briefly outlined.
On the Image Space Analysis for Vector Variational Inequalities
PELLEGRINI, Letizia
2005-01-01
Abstract
The theory of Vector Variational Inequalities can be based on the image space analysis and theorems of the alternative or separation theorems. Exploiting the separation approach for suitable approximations of the image associated to a Vector Variational Inequality, Lagrangian-type necessary optimality conditions are obtained. Applications to vector optimization problems and to vector traffic equilibria are briefly outlined.
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