Nearness relations in linear spaces. (English) Zbl 1249.40001

Kalina, Martin

Kybernetika 40, No. 4, 441-458 (2004).

Summary: We consider nearness-based convergence in a linear space, where the coordinatewise given nearness relations are aggregated using weighted pseudo-arithmetic and geometric means and using continuous \(t\)-norms.

MSC:

40A05	Convergence and divergence of series and sequences
46A45	Sequence spaces (including Köthe sequence spaces)
03E72	Theory of fuzzy sets, etc.

Keywords:

nearness relation; pseudo-arithmetic mean; geometric mean; nearness-convergence; continuous \(t\)-norm

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