Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1893058 | Chaos, Solitons & Fractals | 2009 | 9 Pages |
Abstract
Probabilistic metric spaces were introduced by Karl Menger. Alsina, Schweizer and Sklar gave a general definition of probabilistic normed space based on the definition of Menger [1]. We introduce the concept of semi-invariance among the PN spaces. In this paper we will find a sufficient condition for some PN spaces to be semi-invariant. We will show that PN spaces are normal spaces. Urysohn’s lemma, and Tietze extension theorem for them are proved.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
M.B. Ghaemi, B. Lafuerza-Guillén, S. Saiedinezhad,