Borsuk’s antipodal theorem for approachable correspondences

Article dans une revue: We present an extension of Borsuk's antipodal theorem (on the existence of a zero) to antipodally approachable correspondences defined on bounded, symmetric and balanced domains.

Auteur(s)

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

Revue
  • Nonlinear Analysis: Theory, Methods and Applications
Date de publication
  • 2010
Mots-clés
  • Zero of functions
  • Balanced sets
  • Antipodal preserving functions
  • Antipodal correspondences
  • Approximative selections
  • Antipodally approachable correspondences
  • Zero of functions
Pages
  • 3502-3506
URL de la notice HAL
Version
  • 1
Volume
  • 73