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3“…We prove that every probabilistic normed space, either according to the original definition given by Serstnev, or according to recent one introduced by Alsina, Schweizer and Sklar, has a completion.…”
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5“…Probabilistic normed spaces have been redefined by Alsina, Schweizer, and Sklar. We give a detailed analysis of various boundedness notions for linear operators between such spaces and we study the relationship among them and also with the notion of continuity.…”
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6“…One considers probabilistic normed spaces as defined by Alsina,Schweizer and Sklar, but with non necessarily continuous triangle functions. …”
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8“…Probabilistic Metric space was introduced by Karl Menger. Alsina , Schweizer and Sklar gave a general definition of a probabilistic normed space based on the definition of Menger. …”
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9“…Probabilistic Metric spaces were introduced by Karl Menger [Alsina C., Schweizer B. and Sklar A.: "On the definition of a probabilistic normed spaces", Aequationes Math. 1993; 46: 91-8]. here we consider the equicontinuity of a class of linear operators in probabilistic normed spaces and finally, a common fixed point theorem is proved. …”
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