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Fixed points of contraction mappings on probabilistic metric spaces. (English) Zbl 0244.60004

60B10Convergence of probability measures
60H99Stochastic analysis
Full Text: DOI
[1] M. Edelstein, (i) On fixed and periodic points under contractive mapping,J. London Math. Soc. 37 (1962), 74--79; (ii) An extension of Banach’s contraction principle,Proc. Amer. Math. Soc. 12 (1961), 7--10. · Zbl 0113.16503 · doi:10.1112/jlms/s1-37.1.74
[2] K. Menger, Statistical metrics,Proc. Nat. Acad. Sci. U.S.A. 28 (1942), 535--537. · Zbl 0063.03886 · doi:10.1073/pnas.28.12.535
[3] O. Onicescu,Nombres et Systèmes Aléatoires, Éditions de l’Académie de la R. P. Roumaine, Bucarest, 1964. · Zbl 0212.19501
[4] B. Schweizer, Probabilistic metric spaces--the first 25 years,The N.Y. Statistician 19 (1967), 3--6.
[5] B. Schweizer, Probabilistic metric spaces,Probabilistic Methods in Applied Mathematics (A. T. Bharucha-Reid, ed.), Vol. 4, Academic Press, New York (to appear). · Zbl 0546.60010
[6] B. Schweizer andA. Sklar, Statistical metric spaces,Pacific J. Math. 10 (1960), 313--334. · Zbl 0091.29801
[7] B. Schweizer, A. Sklar andE. Thorp, The metrization of statistical metric spaces,Pacific J. Math. 10 (1960) 673--675. · Zbl 0096.33203