Document Zbl 1349.40014

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Gürdal, Mehmet; Huban, Mualla Birgül

On \(\mathcal I\)-convergence of double sequences in the topology induced by random 2-norms. (English) Zbl 1349.40014

Mat. Vesn. 66, No. 1, 73-83 (2014).

The notion of ideal convergence of double sequences in the sense of 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.

Reviewer: Zoran Kadelburg (Beograd)

Cited in 15 Documents

MSC:

40A35	Ideal and statistical convergence
40J05	Summability in abstract structures
40B05	Multiple sequences and series

Keywords:

\(t\)-norm; random 2-normed space; ideal convergence; ideal Cauchy sequences; \(F\)-topology

Citations:

Zbl 1021.40001

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