On ideal convergence of double sequences in probabilistic normed spaces

DOI10.1007/S10114-012-9321-1zbMath1259.54012OpenAlexW2051100672MaRDI QIDQ1757950

Xianqiang Yang

Publication date: 7 November 2012

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10835/2754

zbMATH Keywords

statistical convergenceideal convergencedouble sequenceprobabilistic normed spacesprobabilistic normcontinuous \(t\)-norm

Mathematics Subject Classification ID

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

Related Items (5)

Ideal convergence of random variables ⋮ On lacunary mean ideal convergence in generalized random \(n\)-normed spaces ⋮ On cluster points, continuity, and boundedness associated with the generalized statistical convergence in probabilistic normed spaces ⋮ Lacunary ideal convergence of multiple sequences in probabilistic normed spaces ⋮ Generalized ideal convergence in probabilistic normed spaces

Cites Work

• A primer on triangle functions. II
• A primer on triangle functions I
• On the definition of a probabilistic normed space
• Continuity properties of probabilistic norms
• Statistical convergence of double sequences
• Statistical convergence of multiple sequences
• Triangular norms
• On \({\mathcal I}\)-Cauchy sequences
• Convex sets in probabilistic normed spaces
• The Integrability of Certain Functions and Related Summability Methods
• ON STATISTICAL CONVERGENCE
• Sur la convergence statistique
• Statistical Metrics
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