Statistical convergence of sequences of sets
2012
scientific article
english
- statistical convergence
- sequence of sets
- Kuratowski convergence
- Wijsman convergence
- Hausdorff convergence
- almost convergence
EN The concept of convergence of sequences of points has been extended by several authors to convergence of sequences of sets. The three such extensions that we will consider in this paper are those of Kuratowski, Wijsman and Hausdorff. We shall define statistical convergence for sequences of sets and establish some basic theorems, thereby obtaining generalizations of the corre-sponding results for statistical convergence of sequences of points.
87 - 99
CC BY-NC-ND (attribution - noncommercial - no derivatives)
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