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Statistical convergence of triple sequences on probabilistic normed space [PDF]

, 2012
The concept of statistical convergence was presented by Fast [7]. This concept was extended to the double sequences by Mursaleen and Edely [21]. In this paper, we dene statistical analogues of convergence and Cauchy for triple sequences on probabilistic normed space.
Savaş, Ekrem, Ertürk, Müzeyyen
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On Generalized Difference Ideal Convergence in Generalized Probabilistic n-normed Spaces

Proceedings of the National Academy of Sciences India Section A - Physical Sciences, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Binod Chandra Tripathy
exaly   +2 more sources

On uniform convergence of linear operators on the probabilistic normed space

Applied Mathematics and Mechanics (English Edition), 1989
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +3 more sources

Probabilistic uniformization and probabilistic metrization of probabilistic convergence groups

Mathematica Slovaca, 2017
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 ...
T M G Ahsanullah, Günther Jäger
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Categorical Properties of Probabilistic Convergence Spaces

Applied Categorical Structures, 1998
It is proved that the category of probabilistic pretopological (or pseudotopological) spaces is the extensional topological hull (or cartesian-closed extensional topological hull, resp.) of the category \(F_T\)-diagonal probabilistic convergence spaces for any triangular norm \(T\).
Horst Herrlich, Dexue Zhang
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Probabilistic norms and convergence of random variables [PDF]

Journal of Mathematical Analysis and Applications, 2003
We prove that the probabilistic norms of suitable Probabilistic Normed spaces induce convergence in probability, Lp convergence and almost sure ...
Carlo Sempi
exaly   +2 more sources

Approach Spaces, Limit Tower Spaces, and Probabilistic Convergence Spaces

Applied Categorical Structures, 1997
It is shown that the category CAP of convergence approach spaces is isomorphic to the category LTS of limit tower spaces. CAP has, as objects, pairs \((X,\lambda)\), where \(X\) is a set and \(\lambda:F(X)=\) (the set of filters on \(X)\to[0, \infty]^X\) satisfies (1) \(\lambda(\dot x)(x)=0\), where \(\dot x\) is the filter generated by \(\{x\}\), and ...
Paul Brock, D. C. Kent
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On the Probabilistic Convergence Spaces: Monad and its Eilenberg–Moore Category

New Mathematics and Natural Computation, 2021
Motivated by the category of probabilistic convergence spaces — a supercategory of the category of topological spaces; recently, we brought to light the categories of probabilistic convergence groups, probabilistic metric probabilistic convergence groups, probabilistic convergence transformation groups, along with their underpinning natural examples ...
T. M. G. Ahsanullah, Tesnim Meryem Baran, Fawzi Al-Thukair   +2 more
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I-STATISTICAL CONVERGENCE IN PROBABILISTIC NORMED SPACES

2014
In this paper, we introduce a new type of summability notion, namely, I-statistical convergence and I-lacunary statistical convergence for double sequences in probabilistic normed space, which is a natural generalization of the notion of natural density, statistical convergence and lacunary statistical convergence using the notion of ideals of the set ...
GÜRDAL, Mehmet, Savas, Ekrem
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Lacunary statistically convergent double sequences in probabilistic normed spaces

ANNALI DELL'UNIVERSITA' DI FERRARA, 2012
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Mohiuddine, S.A., Savaş, Ekrem
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