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Article Dans Une Revue Advances in Nonlinear Analysis Année : 2018

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

Altwaijry Najla
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Souhail Chebbi
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Hakim Hammami
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Résumé

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.

Dates et versions

hal-01477126 , version 1 (27-02-2017)

Identifiants

Citer

Altwaijry Najla, Souhail Chebbi, Hakim Hammami, Pascal Gourdel. Borsuk’s antipodal fixed points theorems for compact or condensing set-valued maps. Advances in Nonlinear Analysis, 2018, 7 (3), pp.307-311. ⟨10.1515/anona-2016-0128⟩. ⟨hal-01477126⟩
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