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Probabilistic uniformization and probabilistic metrization of probabilistic convergence groups

In: Mathematica Slovaca, vol. 67, no. 4
T. M. G. Ahsanullah - Gunther Jäger
Detaily:
Rok, strany: 2017, 985 - 1000
Kľúčové slová:
probabilistic metric space, distance distribution function, profile function, Tardiff-neighborhood system, probabilistic convergence space, probabilistic uniform convergence space, probabilistic convergence group, probabilistic uniformization, probabilis
O článku:
We define probabilistic convergence groups based on Tardiff's neighborhood systems for probabilistic metric spaces and develop the basic theory. We study, as natural examples, probabilistic metric groups and probabilistic normed groups as well as probabilistic limit groups under a $t$-norm as defined earlier by the authors. We further show that a probabilistic convergence group induces a natural probabilistic uniform convergence structure and give a result on probabilistic metrization.
Ako citovať:
ISO 690:
Ahsanullah, T., Jäger, G. 2017. Probabilistic uniformization and probabilistic metrization of probabilistic convergence groups. In Mathematica Slovaca, vol. 67, no.4, pp. 985-1000. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0027

APA:
Ahsanullah, T., Jäger, G. (2017). Probabilistic uniformization and probabilistic metrization of probabilistic convergence groups. Mathematica Slovaca, 67(4), 985-1000. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0027
O vydaní:
Publikované: 28. 8. 2017