INTRODUCTION TO THE PROBABILISTIC 1-LIPSCHITZ MAPS

Mohammed Bachir (1)

1 SAMM - Statistique, Analyse et Modélisation Multidisciplinaire (SAmos-Marin Mersenne)

We introduce the notion of probabilistic 1-Lipschitz map defined on a probabilistic metric space and give an analogous to the result of Mac Shane on the extenstion of real-valued Lipschitz functions from a subset of a metric space to the whole space.

Domains: Mathematics [math]; Functional Analysis [math.FA]

Mohammed Bachir. INTRODUCTION TO THE PROBABILISTIC 1-LIPSCHITZ MAPS. 2017. ⟨hal-01672758⟩