Borsuk's antipodal theorem for approachable correspondences

DOI10.1016/j.na.2010.06.076zbMath1235.55002OpenAlexW2037183683MaRDI QIDQ708691

Jean-Marc Bonnisseau, Souhail Chebbi, Hakim Hammami, Pascal Gourdel

Publication date: 14 October 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.06.076

zbMATH Keywords

balanced setsantipodal correspondencesantipodal preserving functionsantipodally approachable correspondencesapproximative selectionszero of functions

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Selections in general topology (54C65) Fixed points and coincidences in algebraic topology (55M20)

Related Items (2)

Borsuk's antipodal fixed points theorems for compact or condensing set-valued maps ⋮ Some mapping theorems for continuous functions defined on the sphere

Cites Work

• Continuous selections. I
• Borsuk's Antipodal and Fixed-Point Theorems for Set-Valued Maps
• A Leray-Schauder Type Theorem for Approximable Maps
• Set-valued analysis
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