Strong \(\Gamma\)-statistical convergence in probabilistic normed spaces

DOI10.1007/s40306-015-0158-4zbMath1369.40005OpenAlexW2266777128MaRDI QIDQ505581

Serpil Pehlivan, Celaleddin Şençimen

Publication date: 26 January 2017

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40306-015-0158-4

zbMATH Keywords

probabilistic normed (PN) spacestatistically \(D\)-bounded sequencestrong \(\Gamma\)-statistical convergencestrong statistical cluster point

Mathematics Subject Classification ID

Probabilistic metric spaces (54E70) Ideal and statistical convergence (40A35) Summability in abstract structures (40J05) Functional analysis in probabilistic metric linear spaces (46S50)

Cites Work

• \(D\)-boundedness and \(D\)-compactness in finite-dimensional probabilistic normed spaces
• Statistical convergence in topology
• On the definition of a probabilistic normed space
• Continuity properties of probabilistic norms
• A short and partial history of probabilistic normed spaces
• Products and quotients of probabilistic metric spaces
• Turnpike properties in the calculus of variations and optimal control
• Statistical Limit Points
• Strong Statistical Convergence in Probabilistic Metric Spaces
• StatisticallyD-bounded sequences in probabilistic normed spaces
• ON STATISTICAL CONVERGENCE
• Statistical limit superior and limit inferior
• Statistical cluster points and turnpike^*
• Statistical Cluster Points of Sequences in Finite Dimensional Spaces
• Sur la convergence statistique
• Statistical Metrics
• A study of boundedness in probabilistic normed spaces
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