%0 Journal Article
%T Some properties of continuous linear operators in topological vector PN-spaces
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Ghaemi, M. B.
%A Guillen, L.
%A Saiedinezhad, S.
%D 2010
%\ 01/01/2010
%V 1
%N 1
%P 58-64
%! Some properties of continuous linear operators in topological vector PN-spaces
%K continuous linear map
%K homomorphism
%K Triangular function
%K topological vector space
%R 10.22075/ijnaa.2010.69
%X The notion of a probabilistic metric space corresponds to thesituations 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.
%U https://ijnaa.semnan.ac.ir/article_69_090602b28d0b34c8ddacb4ce573ae443.pdf