Abstract and Applied Analysis

New Convergence Definitions for Sequences of Sets

Ömer Kişi and Fatih Nuray

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 852796, 6 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393512112

Digital Object Identifier
doi:10.1155/2013/852796

Mathematical Reviews number (MathSciNet)
MR3124081

Citation

Kişi, Ömer; Nuray, Fatih. New Convergence Definitions for Sequences of Sets. Abstr. Appl. Anal. 2013 (2013), Article ID 852796, 6 pages. doi:10.1155/2013/852796. https://projecteuclid.org/euclid.aaa/1393512112


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