ON THE STATISTICAL CONVERGENCE OF NESTED SEQUENCES OF SETS

Abstract

In this paper, we show that Wijsman convergence and statistical Wijsman convergence are equivalent to each other if we choose the sequences of sets as monotone. Then, we show that every statistical Wijsman convergent monotone sequence of sets is not only Hausdorff convergent but also statistical Hausdorff convergent to the same set.

Keywords

• nested sequences of sets
• statistical wijsman convergence
• statistical hausdorff convergence