Geodesic
Functional Analysis
Fixed point theorem in subsets of topological vector spaces
[Théorème de point fixe dans les sous ensembles d'espaces vectoriels topologiques]

Présenté par : Pierre-Louis Lions

Askoura, Youcef1 ; Godet-Thobie, Christiane1
1 Université de Bretagne occidentale, UFR sciences et techniques, laboratoire de mathématiques–CNRS–UMR 6205, 6, avenue Victor Le Gorgeu, CS 93837, 29283 Brest cedex 3, France
Comptes Rendus. Mathématique, Tome 340 (2005) no. 11, pp. 815-818.

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We prove new existence results of fixed points for upper semicontinuous multi-valued maps with not necessarily convex values. The definition domains are assumed to have the simplicial approximation property.

Nous montrons des nouveaux résultats d'existence de points fixes pour les applications multivoques à images non nécessairement convexes. Les ensembles de définition sont supposés avoir la propriété d'approximation simplicial.

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Accepté le :
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DOI : 10.1016/j.crma.2005.04.030

Askoura, Youcef 1 ; Godet-Thobie, Christiane 1

1 Université de Bretagne occidentale, UFR sciences et techniques, laboratoire de mathématiques–CNRS–UMR 6205, 6, avenue Victor Le Gorgeu, CS 93837, 29283 Brest cedex 3, France 
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Askoura, Youcef; Godet-Thobie, Christiane. Fixed point theorem in subsets of topological vector spaces. Comptes Rendus. Mathématique, Tome 340 (2005) no. 11, pp. 815-818. doi : 10.1016/j.crma.2005.04.030. http://geodesic.mathdoc.fr/articles/10.1016/j.crma.2005.04.030/

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