Abstract
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
Author information
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, 29238 Brest, France
and: Laboratoire de Mathématiques CNRS-UMR 6205
askoura@univ-brest.fr
Christiane Godet-Thobie
UFR Sciences Techniques, Lab. de Mathématiques, Université de Bretagne Occ., 6 Av. Victor Le Gorgeu, 29238 Brest, France
and: Laboratoire de Mathématiques CNRS-UMR 6205
christiane.godet-thobie@univ-brest.frSuggested citation
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. https://doi.org/10.68381/jca13021
Published by Heldermann Verlag, 2006. Rights now held by Banach Press.