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 $(G,D,T)$ under a continuous $t$-norm $T$, induce a natural topology $\tau$ wich is metrizable. We extend this result to…