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Statistical \(\Lambda\)-convergence in probabilistic normed spaces. (English) Zbl 1376.40008

Summary: The main objective of the study was to understand the notion of \(\Lambda\)-convergence and to study the notion of probabilistic normed (PN) spaces. The study has also aimed to define the statistical \(\Lambda\)-convergence and statistical \(\Lambda\)-Cauchy in PN-spaces. The concepts of these approaches have been defined by some examples, which have demonstrated the concepts of statistical \(\Lambda\)-convergence and statistical \(\Lambda\)-Cauchy in PN-spaces. Previous studies have also been used to understand similar terminologies and notations for the extraction of outcomes.

MSC:

40J05 Summability in abstract structures
40A35 Ideal and statistical convergence
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