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

Contact details are reproduced from the original publication and may be historical.

Youcef Askoura

UFR Sciences Techniques, Lab. de Mathématiques, Université de Bretagne Occ., 6 Av. Victor Le Gorgeu, 29283 Brest, France

askoura@univ-brest.fr

Y. Askoura, Ch. Godet-Thobie. “Fixed Points in Contractible Spaces and Convex Subsets of Topological Vector Spaces.” Journal of Convex Analysis 13 (2006), No. 2, 193–205.