Metrization of probabilistic metric spaces. Applications to fixed point theory and Arzela-Ascoli type theorem

This work is devoted to the metrization of probabilistic spaces. More precisely, given such a space (G,D,?) and provided that triangle function ? continuous, we exhibit an explicit canonical metric ?D on G associated topology homeomorphic so-called strong topology. As applications, make advantage this present some fixed point theorems structures prove version Arzela-Ascoli theorem.