On the image space analysis for vector variational inequalities

G. Mastroeni; L. Pellegrini

doi:10.3934/jimo.2005.1.123

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2005, Volume 1, Issue 1: 123-132. Doi: 10.3934/jimo.2005.1.123

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

Received: April 30, 2004

Revised: November 30, 2004

Published: December 2004

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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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Mathematics Subject Classification: 49J40, 65K10.

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