Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68221120100101Some properties of continuous linear operators in topological vector PN-spaces58646910.22075/ijnaa.2010.69ENM. B.GhaemiDepartment of Mathematics, Iran University of Science and Technology, Narmak, Tehran,
Iran.L.GuillenDepartamento de Estadistica Ymatem'atica Aplicada,
Universidad de Almeria, e-04120, SpainS.SaiedinezhadDepartment of Mathematics Iran University of Science and Technology, Narmak, Tehran,
Iran.Journal Article20090311The 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 [1]. 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.https://ijnaa.semnan.ac.ir/article_69_090602b28d0b34c8ddacb4ce573ae443.pdf