Borsuk’s antipodal fixed points theorems for compact or condensing set-valued maps
Journal article: 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.
Author(s)
Altwaijry Najla, Souhail Chebbi, Hakim Hammami, Pascal Gourdel
Journal
- Advances in Nonlinear Analysis
Date of publication
- 2018
Keywords
- 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
Pages
- 307–311
URL of the HAL notice
Version
- 1
Volume
- 7