Journal of Convex Analysis 13 (2006), No. 2, 193--205
Copyright Heldermann Verlag 2006
Fixed Points in Contractible Spaces and Convex Subsets of Topological Vector Spaces
Youcef Askoura
UFR Sciences Techniques, Lab. de Mathématiques, Université de Bretagne Occ., 6 Av. Victor Le Gorgeu, 29283 Brest, France
askoura@univ-brest.fr
Christiane Godet-Thobie
UFR Sciences Techniques, Lab. de Mathématiques, Université de Bretagne Occ., 6 Av. Victor Le Gorgeu, 29283 Brest, France
christiane.godet-thobie@univ-brest.fr
We prove new existence results of fixed points for upper semicontinuous multi-valued maps with not necessarily convex values. We study two cases, according to whether the maps are defined on contractible spaces or on convex subsets of topological vector spaces possessing the simplicial approximation property.
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