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New Convergence Definitions for Sequences of Sets

Ömer Kişi and Fatih Nuray

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: 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.

Date: 2013
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https://doi.org/10.1155/2013/852796

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:852796

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