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T M G Ahsanullah

Professor

Professor

كلية العلوم
Department of Mathematics, Building 4, Room No. 2B 80

Probabilistic convergence transformation groups by T. M. G. Ahsanullah and Gunther Jaeger

, T M G Ahsanullah . 2018

We introduce a notion of a probabilistic convergence transformation group, and present various natural examples including quotient probabilistic convergence transformation group. In doing so, we construct a probabilistic convergence structure on the group of homeomorphisms and look into a probabilistic convergence group that arises from probabilistic uniform convergence structure on function spaces. Given a probabilistic convergence space, and an arbitrary group, we construct a probabilistic convergence transformation group. Introducing a notion of a probabilistic metric convergence transformation group on a probabilistic metric space, we obtain in a natural way a probabilistic convergence transformation group.

Publication Work Type
Original Research
Volume Number
68
Issue Number
6
Magazine \ Newspaper
Mathematica Slovaca
Pages
1447-1467
more of publication
publications

Introducing the notion of probabilistic convergence ring, and probabilistic limit ring, our motivations among others are, to focus at two vital issues, such as, (a) to provide characterization…

by T. M. G. Ahsanullah and Gunther Jaeger
2024
publications

Starting with the category of probabilistic approach groups, we show that the category of approach groups can be embedded into the category of probabilistic approach groups as a bicoreflective…

by T M G Ahsanullah, Fawzi Al-Thukair and Bhamini Nayar
2023
publications

Starting with an approximation space as the underlying structure, we
look at the rough uniformity of a topological rough group. Next, taking L as a
complete residuated lattice, we…

by T M G Ahsanullah
2022
Published in:
Journal of Intelligent and Fuzzy Systems