Document Type : Research Paper
1 Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran.
2 Departamento de Estadistica Ymatem'atica Aplicada, Universidad de Almeria, e-04120, Spain
3 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.