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January  2005, 1(1): 123-132. doi: 10.3934/jimo.2005.1.123

On the image space analysis for vector variational inequalities

G. Mastroeni 1, and  L. Pellegrini 2,

1. 

Department of Mathematics, University of Pisa, Largo B. Pontecorvo 5, 56127 Pisa, Italy
2. 

Department of Economics, University of Verona, Via Giardino Giusti 2, 37129 Verona, Italy

Received  May 2004 Revised  December 2004 Published  January 2005

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.
Keywords: image space, semidifferentiable functions., separation, Vector Variational Inequality.
Mathematics Subject Classification: 49J40, 65K1.
Citation: G. Mastroeni, L. Pellegrini. On the image space analysis for vector variational inequalities. Journal of Industrial & Management Optimization, 2005, 1 (1) : 123-132. doi: 10.3934/jimo.2005.1.123
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