NVA2007 Conférence internationale en Analyse Non lisse et Variationnelle dans les sciences et l’ingénierie 20-21-22 juin 2007 Université de Limoges, France
ON GENERAL INFINITE DIMENSIONAL COMPLEMENTARITY PROBLEMS Antonino Maugeri Department of Mathematics and Computer Sciences, University of Catania, Viale A. Doria, 6, 95125 Catania, Italy E-mail:
[email protected]
Keywords. Generalized complementarity problem; Lagrange function; quasirelative interior; Assumption (S); optimality conditions; continuous tra¢ c network equilibrium problem; random equilibrium problems. The aim of this paper is to present a way to study directly generalized complementarity problems in normed spaces. By means of new results on in…nite dimensional Lagrange theory we show some optimality conditions which reduce the study of the problems to the one of suitable systems of equalities and inequalities.
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