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1. Borsuk’s antipodal fixed points theorems for compact or condensing set-valued maps

Author

Altwaijry Najla, Chebbi Souhail, Hammami Hakim, and Gourdel Pascal

Subjects
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, 47h10, 54c60, Analysis, QA299.6-433
Abstract

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.

Published
2018
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