$\mathcal{I}$-statistical limit points and $\mathcal{I}$-statistical cluster points in Probabilistic Normed Spaces

DOI10.30755/NSJOM.10082zbMath1495.40004MaRDI QIDQ5063306

Argha Ghosh, Samiran Das

Publication date: 17 March 2022

Published in: Novi Sad Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

probabilistic normed spacecontinuous \(t\)-norm\(\mathcal{I}\)-asymptotic density\(\mathcal{I}\)-statistical cluster points\(\mathcal{I}\)-statistical limit points

Mathematics Subject Classification ID

Ideal and statistical convergence (40A35) Summability in abstract structures (40J05) Functional analysis in probabilistic metric linear spaces (46S50)

Cites Work

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• On \(i\)-statistically pre-Cauchy sequences
• On generalizations of certain summability methods using ideals
• On the definition of a probabilistic normed space
• On \({\mathcal I}\)-Cauchy sequences
• \(\mathcal I\)-convergence
• A generalized statistical convergence via ideals
• Probabilistic Normed Spaces
• Statistical Limit Points
• The Integrability of Certain Functions and Related Summability Methods
• ON STATISTICAL CONVERGENCE
• THE STATISTICAL AND STRONG p-CESARO CONVERGENCE OF SEQUENCES
• R-Type Summability Methods, Cauchy Criteria, P-Sets and Statistical Convergence
• Statistical Cluster Points of Sequences in Finite Dimensional Spaces
• I-statistical limit points and I-statistical cluster points
• I-statistical limit superior and I-statistical limit inferior
• Sur la convergence statistique

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