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Existence conditions in general quasimonotone variational inequalities

Published online by Cambridge University Press:  17 April 2009

D. Aussel  and
D. T. Luc
D. Aussel
Affiliation:
Lab. MANO, University of Perpignan, France e-mail: [email protected]
D. T. Luc
Affiliation:
Lab. Analyse non linéaire et Géométrie, University of Avignon, France e-mail: [email protected]
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In this paper we study a general variational inequality model with set-valued quasimonotone operators, a model which includes several variational inequalities and equilibrium problems. We establish unifying conditions for existence of solutions in a topological vector space setting. Applications to parametric equilibrium models and to a contact problem are given.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 71 , Issue 2 , April 2005 , pp. 285 - 303
Copyright
Copyright © Australian Mathematical Society 2005

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