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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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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