Variational inequalities and Fixed Point theorems in the Euclidean space for non-continuous operators

• Autores: Luc Barbet
• Localización: VIII Journées Zaragoza-Pau de Mathématiques Appliquées et de Statistiques / coord. por Manuel Pedro Palacios Latasa , David Trujillo, Juan José Torrens Iñigo , Monique Madaune-Tort , María Cruz López de Silanes Busto , Gerardo Sanz Sáiz , 2003, ISBN 84-7733-720-9, págs. 51-59
• Idioma: inglés
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• Resumen

  • The existence of solutions of general variational inequalities is obtained for some maps defined on a nonempty closed convex subset of the Euclidean space. The convex subset is possibly unbounded, the operator is possibly neither continuous nor coercive, the convex function is possibly non-lower semi-continuous. Two generalizations of the fixed points theorem of Brouwer are deduced for some operators which are non-continuous and defined on some unbounded closed convex subsets.