Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran.
Departamento de estadistica ymatem'atica aplicada, universidad de almeria, e-04120, Spain
Department of Mathematics Iran University of Science and Technology, Narmak, Tehran, Iran.
The notion of a probabilistic metric space corresponds to the
situations when we do not know exactly the
distance. Probabilistic Metric space was
introduced by Karl Menger. Alsina, Schweizer and Sklar gave a general definition of
probabilistic normed space based on the definition of Menger . In this note we study the PN spaces which are
topological vector spaces and the open mapping and closed graph
Theorems in this spaces are proved.