Borsuk’s antipodal theorem for approachable correspondences

Journal article: 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.

Author(s)

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

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