Geodesic
$\mathcal{I}$-statistical limit points and $\mathcal{I}$-statistical cluster points in Probabilistic Normed Spaces
Novi Sad Journal of Mathematics, Tome 51 (2021) no. 2.

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In this paper, we introduce the notions of $\mathcal{I}$-statistical limit points and $\mathcal{I}$-statistical cluster points for a sequence in probabilistic normed spaces and study some basic properties of the sets of all $\mathcal{I}$-statistical limit points and $\mathcal{I}$-statistical cluster points of a sequence in probabilistic normed spaces including their interrelationship. Also, using the additive property of $\mathcal{I}$-asymptotic density zero sets, we establish $\mathcal{I}$-statistical analogue of some previous results.
Publié le :
DOI : 10.30755/NSJOM.10082
Classification : 40G99, 60F99
Keywords: Continuous $t$-norm, probabilistic normed space, $\mathcal{I}$-statistical limit points, $\mathcal{I}$-statistical cluster points, $\mathcal{I}$-asymptotic density 
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     author = {Samiran Das and Argha Ghosh},
     title = {$\mathcal{I}$-statistical limit points and $\mathcal{I}$-statistical cluster points in {Probabilistic} {Normed} {Spaces}},
     journal = {Novi Sad Journal of Mathematics},
     pages = {1 - 16},
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     doi = {10.30755/NSJOM.10082},
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Samiran Das; Argha Ghosh. $\mathcal{I}$-statistical limit points and $\mathcal{I}$-statistical cluster points in Probabilistic Normed Spaces. Novi Sad Journal of Mathematics, Tome 51 (2021) no. 2. doi : 10.30755/NSJOM.10082. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.10082/

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