Manifold approximation of set-valued functions

Alexandre Goldsztejn (1)

1 LINA - Laboratoire d'Informatique de Nantes Atlantique

A new continuity for set-valued functions is introduced, and an existence theorem is proved for such continuous set-valued functions.

Keywords: Set-valued functions; existence theorems

Domains: Numerical Analysis [math.NA]; Numerical Analysis [cs.NA]

Alexandre Goldsztejn. Manifold approximation of set-valued functions. 2005. ⟨hal-00350447⟩