Abstract
In 1942 K. Menger introduced the notion of a statistical metric space as a natural generalization of the notion of a metric space (M, d) in which the distance d(p, q) (p, q ∈ M) between p and q is replaced by a distribution function F p, q ∈ Δ+. F p,q (x) can be interpreted as the probability that the distance between p and q is less than x.
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© 2001 Springer Science+Business Media Dordrecht
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Hadžić, O., Pap, E. (2001). Probabilistic metric spaces. In: Fixed Point Theory in Probabilistic Metric Spaces. Mathematics and Its Applications, vol 536. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1560-7_2
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DOI: https://doi.org/10.1007/978-94-017-1560-7_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5875-1
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