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.
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.
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Publié le :
Youcef Askoura 1 ; Christiane Godet-Thobie 1
@article{CRMATH_2005__340_11_815_0, author = {Youcef Askoura and Christiane Godet-Thobie}, title = {Fixed point theorem in subsets of topological vector spaces}, journal = {Comptes Rendus. Math\'ematique}, pages = {815--818}, publisher = {Elsevier}, volume = {340}, number = {11}, year = {2005}, doi = {10.1016/j.crma.2005.04.030}, language = {en}, }
Youcef Askoura; Christiane Godet-Thobie. Fixed point theorem in subsets of topological vector spaces. Comptes Rendus. Mathématique, Volume 340 (2005) no. 11, pp. 815-818. doi : 10.1016/j.crma.2005.04.030. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2005.04.030/
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