StatisticallyD-bounded sequences in probabilistic normed spaces

DOI10.1080/00036810903114742zbMath1178.54014OpenAlexW2023485778MaRDI QIDQ3643199

Serpil Pehlivan, Celaleddin Şençimen

Publication date: 10 November 2009

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810903114742

zbMATH Keywords

probabilistic normed spacestatistically \(D\)-bounded sequencestrong statistical convergencestrong statistically Cauchy sequence

Mathematics Subject Classification ID

Probabilistic metric spaces (54E70) Functional analysis in probabilistic metric linear spaces (46S50)

Related Items (4)

On cluster points, continuity, and boundedness associated with the generalized statistical convergence in probabilistic normed spaces ⋮ Strong \(\Gamma\)-statistical convergence in probabilistic normed spaces ⋮ Strong \(\Gamma\)-ideal convergence in a probabilistic normed space ⋮ On some further generalizations of strong convergence in probabilistic metric spaces using ideals

Cites Work

• Unnamed Item
• \(D\)-boundedness and \(D\)-compactness in finite-dimensional probabilistic normed spaces
• Probabilistic norms for linear operators
• On the definition of a probabilistic normed space
• Continuity properties of probabilistic norms
• Completion of probabilistic normed spaces
• A short and partial history of probabilistic normed spaces
• Strong Statistical Convergence in Probabilistic Metric Spaces
• ON STATISTICAL CONVERGENCE
• Statistical limit superior and limit inferior
• Statistical cluster points and turnpike^*
• A Measure Theoretical Subsequence Characterization of Statistical Convergence
• Probabilistic Geometry
• A study of boundedness in probabilistic normed spaces

This page was built for publication: StatisticallyD-bounded sequences in probabilistic normed spaces