2 papers
math.FA2019
Metrization of probabilistic metric spaces. Applications to fixed point theory and Arzela-Ascoli type theorem
Nazaret Bruno, Mohammed Bachir, Bruno Nazaret
Schweizer, Sklar and Thorp proved in 1960 that a Menger space under a continuous -norm , induce a natural topology wich is metrizable. We extend this result to…
math.FA2019
Probabilistic Arzela-Ascoli theorem
Mohammed Bachir, Nazaret Bruno
We prove that, in the space of all probabilistic continuous functions from a probabilistic metric space G to the set + of all cumulative distribution functions vanishing at 0,…