3 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,…
math.FA2016
On representations of isometric isomorphisms between some monoid of functions
Mohammed Bachir
We prove that each isometric isomorphism, between the monoids of all nonegative 1-Lipschitz maps defined on invariant metric groups and equiped with the inf-convolution law, is giv…