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Statistical convergence of sequences of sets in hyperspaces

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The concept of statistical convergence in an arbitrary topological space is nothing new, it is actually a self-evident concept that comes through the structure of that space. In this paper,… Click to show full abstract

The concept of statistical convergence in an arbitrary topological space is nothing new, it is actually a self-evident concept that comes through the structure of that space. In this paper, by considering the well known topologies on hyperspaces, we investigate the characterizations of statistical convergence of sequences of sets in the realm of these structures.

Keywords: sets hyperspaces; statistical convergence; convergence sequences; sequences sets; convergence

Journal Title: Hacettepe Journal of Mathematics and Statistics
Year Published: 2017

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