On \(\mathcal I\)-convergence of double sequences in the topology induced by random 2-norms (Q2815271)

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scientific article; zbMATH DE number 6598885
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On \(\mathcal I\)-convergence of double sequences in the topology induced by random 2-norms
scientific article; zbMATH DE number 6598885

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    27 June 2016
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    \(t\)-norm
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    random 2-normed space
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    ideal convergence
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    ideal Cauchy sequences
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    \(F\)-topology
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    On \(\mathcal I\)-convergence of double sequences in the topology induced by random 2-norms (English)
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    The notion of ideal convergence of double sequences in the sense of \textit{P. Kostyrko} et al. [Real Anal. Exch. 26(2000--2001), No. 2, 669--685 (2001; Zbl 1021.40001)] is introduced in the topology induced by a random 2-normed space and some of its properties are studied.
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