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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@article{CRMATH_2005__340_11_815_0, author = {Askoura, Youcef and Godet-Thobie, Christiane}, 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}, url = {http://www.numdam.org/articles/10.1016/j.crma.2005.04.030/} }
TY - JOUR AU - Askoura, Youcef AU - Godet-Thobie, Christiane TI - Fixed point theorem in subsets of topological vector spaces JO - Comptes Rendus. Mathématique PY - 2005 SP - 815 EP - 818 VL - 340 IS - 11 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2005.04.030/ DO - 10.1016/j.crma.2005.04.030 LA - en ID - CRMATH_2005__340_11_815_0 ER -
%0 Journal Article %A Askoura, Youcef %A Godet-Thobie, Christiane %T Fixed point theorem in subsets of topological vector spaces %J Comptes Rendus. Mathématique %D 2005 %P 815-818 %V 340 %N 11 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2005.04.030/ %R 10.1016/j.crma.2005.04.030 %G en %F CRMATH_2005__340_11_815_0
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://www.numdam.org/articles/10.1016/j.crma.2005.04.030/
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