On cluster points, continuity, and boundedness associated with the generalized statistical convergence in probabilistic normed spaces

DOI10.1155/2014/909364zbMath1475.40003OpenAlexW1984154730WikidataQ59042774 ScholiaQ59042774MaRDI QIDQ1725245

Kaustubh Dutta, Vatan Karakaya, Pratulananda Das

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/909364

Mathematics Subject Classification ID

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

Cites Work

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• A note on strong matrix summability via ideals
• On generalized statistical convergence of double sequences via ideals
• Lacunary statistically convergent double sequences in probabilistic normed spaces
• On generalizations of certain summability methods using ideals
• Strong ideal convergence in probabilistic metric spaces
• Statistical metric spaces
• The metrization of statistical metric spaces
• Some further results on I-Cauchy sequences and condition (AP)
• Topologies for probabilistic metric spaces
• Probabilistic norms for linear operators
• On the definition of a probabilistic normed space
• Continuity properties of probabilistic norms
• \(\lambda\)-statistical convergence of sequences of functions in intuitionistic fuzzy normed spaces
• On ideal convergence of double sequences in probabilistic normed spaces
• Probabilistic normed Riesz spaces
• On \({\mathcal I}\)-Cauchy sequences
• \(\mathcal I\)-convergence
• Statistical convergence of sequences of functions in intuitionistic fuzzy normed spaces
• On some further generalizations of strong convergence in probabilistic metric spaces using ideals
• A generalized statistical convergence via ideals
• On \(\mathcal I\)-Cauchy sequences
• On ideal convergence in probabilistic normed spaces
• Statistical Limit Points
• $I$ and $I^*$-convergence in topological spaces
• Strong Statistical Convergence in Probabilistic Metric Spaces
• StatisticallyD-bounded sequences in probabilistic normed spaces
• ON STATISTICAL CONVERGENCE
• Statistical continuity in probabilistic normed spaces
• Triangle Inequalities in a Class of Statistical Metric Spaces
• Statistical Metric Spaces Arising from Sets of Random Variables in Euclideann-Space
• Sur la convergence statistique
• Statistical Metrics
• A study of boundedness in probabilistic normed spaces

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