In: Mathematica Slovaca, vol. 67, no. 4
T. M. G. Ahsanullah - Gunther Jäger
Details:
Year, pages: 2017, 985 - 1000
Keywords:
probabilistic metric space, distance distribution function, profile function, Tardiff-neighborhood system, probabilistic convergence space, probabilistic uniform convergence space, probabilistic convergence group, probabilistic
uniformization, probabilis
About article:
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.
How to cite:
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
About edition:
Published: 28. 8. 2017