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Kişi, Ömer; Nuray, Fatih

New convergence definitions for sequences of sets. (English) Zbl 1470.40005

Abstr. Appl. Anal. 2013, Article ID 852796, 6 p. (2013).
Summary: Several notions of convergence for subsets of metric space appear in the literature. In this paper, we define Wijsman \(I\)-convergence and Wijsman \(I^*\)-convergence for sequences of sets and establish some basic theorems. Furthermore, we introduce the concepts of Wijsman \(I\)-Cauchy sequence and Wijsman \(I^*\)-Cauchy sequence and then study their certain properties.

Cited in 17 Documents

MSC:

40A05 Convergence and divergence of series and sequences
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References:

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