New Convergence Definitions for Sequences of Sets

Ömer Kişi and Fatih Nuray

Abstract and Applied Analysis, 2013, vol. 2013, 1-6

Abstract:

Several notions of convergence for subsets of metric space appear in the literature. In this paper, we define Wijsman - convergence and Wijsman - convergence for sequences of sets and establish some basic theorems. Furthermore, we introduce the concepts of Wijsman I - Cauchy sequence and Wijsman - Cauchy sequence and then study their certain properties.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:852796

DOI: 10.1155/2013/852796

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