Results 261 to 270 of about 18,707 (285)

A convergence theory for probabilistic metric spaces

Quaestiones Mathematicae, 2015
We develop a theory of probabilistic convergence spaces based on Tardiff’s neighbourhood systems for probabilistic metric spaces. We show that the resulting category is a topological universe and we characterize a subcategory that is isomorphic to the category of probabilistic metric spaces.Keywords: Probabilistic metric space, probabilistic ...
GÜNTHER Jäger
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Probabilistic uniform convergence spaces redefined

Acta Mathematica Hungarica, 2015
Probabilistic uniform convergence spaces form a generalization of both uniform convergence spaces and probabilistic uniform spaces. In this paper the authors develop a theory of probabilistic uniform convergence spaces based on Tardiff's neighbourhood systems for probabilistic metric spaces. The generalization solves two problems.
T M G Ahsanullah
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Strong Γ-Statistical Convergence in Probabilistic Normed Spaces

Acta Mathematica Vietnamica, 2015
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Serpil Pehlivan
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Lacunary ideal convergence of multiple sequences in probabilistic normed spaces

Applied Mathematics and Computation, 2016
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Bipan Hazarika
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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
core   +3 more sources

On Generalized Difference Ideal Convergence in Generalized Probabilistic n-normed Spaces

Proceedings of the National Academy of Sciences India Section A - Physical Sciences, 2019
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Binod Chandra Tripathy, Mausumi Sen, Tripathy Binod Chandra   +2 more
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Lacunary statistically convergent double sequences in probabilistic normed spaces [PDF]

ANNALI DELL'UNIVERSITA' DI FERRARA, 2012
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Mohiuddine, S.A., Savaş, Ekrem
openaire   +2 more sources

On uniform convergence of linear operators on the probabilistic normed space

Applied Mathematics and Mechanics (English Edition), 1989
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exaly   +3 more sources

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
openaire   +1 more source