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1 août 2018
- handle: 10670/1.m0krke
- hal: hal-01477126
- doi: 10.1515/anona-2016-0128
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info:eu-repo/semantics/altIdentifier/doi/10.1515/anona-2016-0128
Mots-clés
Borsuk’s antipodal fixed point theorem approximative selection antipodally approximable set-valued maps compact set-valued maps measure of non-compactness condensing set-valued maps MSC 2010: 47H10; 54C60Sujets proches
Point-to-set mappings Multi-valued mappings Maps, Set-valued Multivalued mappings Many-valued mappings Mappings, Point-to-setCiter ce document
Altwaijry Najla et al., « Borsuk’s antipodal fixed points theorems for compact or condensing set-valued maps », HAL-SHS : économie et finance, ID : 10.1515/anona-2016-0128
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Résumé
We give a generalized version of the well-known Borsuk’s antipodal fixed point theorem for a large class of antipodally approachable condensing or compact set-valued maps defined on closed subsets of locally convex topological vector spaces. These results contain corresponding results obtained in the literature for compact set-valued maps with convex values.