Fixed points of contractions approximating 1-Lipschitz maps
Résumé
A 1-Lipschitz map f from a convex compact set to itself has fixed points. This consequence of Brouwer's or Schauder's fixed point theorem has more elementary proofs by approximating f by λ-contractions, fλ. We study the convergence of the fixed points of those contractions as they converge to f.
Domaines
Mathématiques [math]
Origine : Fichiers produits par l'(les) auteur(s)