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$$\mu $$-Statistical Convergence of Sequences in Probabilistic n-Normed Spaces

2020
In this article, using the notion of a two-valued measure \(\mu \), we propose the ideas of \(\mu \)-statistical convergence and \(\mu \)-density convergence in probabilistic n-normed spaces and study some of their properties in probabilistic n-normed spaces.
Rupam Haloi, Mausumi Sen
openaire   +1 more source

Statistical convergence on probabilistic modular spaces

2014
Summary: We introduce the concepts of statistical convergence and statistical Cauchy sequence on probabilistic modular spaces. After giving some useful characterizations for statistically convergent sequences, we display an example such that our method of convergence works but its classical case does not work.
Orhan, Sevda   +2 more
openaire   +2 more sources

μ-Statistically Convergent Multiple Sequences in Probabilistic Normed Spaces

2018
In this article, we introduce the notions of μ-statistically convergent and μ-statistically Cauchy multiple sequences in probabilistic normed spaces (in short PN-spaces). We also give a suitable characterization for μ-statistically convergent multiple sequences in PN-spaces.
Rupam Haloi, Mausumi Sen
openaire   +1 more source

A common framework for lattice-valued, probabilistic and approach uniform (convergence) spaces

2017
Summary: We develop a general framework for various lattice-valued, probabilistic and approach uniform convergence spaces. To this end, we use the concept of \(s\)-stratified \(LM\)-filter, where \(L\) and \(M\) are suitable frames. A stratified \(LMN\)-uniform convergence tower is then a family of structures indexed by a quantale \(N\).
openaire   +1 more source

Probabilistic convergence transformation groups

Mathematica Slovaca, 2018
T M G Ahsanullah, Günther Jäger
exaly  

On ideal convergence in probabilistic normed spaces

Mathematica Slovaca, 2012
M Mursaleen
exaly  

On the global stability of an iterative scheme in a probabilistic Menger space

Journal of Inequalities and Applications, 2015
Asier Ibeas, Manuel de la Sen
exaly  

On σ-Statistical Convergence in Probabilistic Normed Spaces

Vijay Kumar   +3 more
openaire   +1 more source

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