Borsuk's antipodal fixed points theorems for compact or condensing set-valued maps

作者：Altwaijry Najla^*; Chebbi Souhail; Hammami Hakim; Gourdel Pascal

来源：Advances in Nonlinear Analysis, 2018, 7(3): 307-311.

DOI：10.1515/anona-2016-0128

• 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

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.

• 出版日期2018-8