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2013 New Convergence Definitions for Sequences of Sets
Ömer Kişi, Fatih Nuray
Abstr. Appl. Anal. 2013: 1-6 (2013). DOI: 10.1155/2013/852796


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.


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Ömer Kişi. Fatih Nuray. "New Convergence Definitions for Sequences of Sets." Abstr. Appl. Anal. 2013 1 - 6, 2013.


Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 07095434
MathSciNet: MR3124081
Digital Object Identifier: 10.1155/2013/852796

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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