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Quasi-almost lacunary statistical convergence of sequences of sets. (English) Zbl 1399.40001

Summary: In this study, we defined concepts of Wijsman quasi-almost lacunary convergence, Wijsman quasi-strongly almost lacunary convergence and Wijsman quasi-\(q\)-strongly almost lacunary convergence. Also, we give the concept of Wijsman quasi-almost lacunary statistically convergence. Then, we study relationships among these concepts. Furthermore, we investigate relationship between these concepts and some convergences types given earlier for sequences of sets, too.

MSC:

40A05 Convergence and divergence of series and sequences
40A35 Ideal and statistical convergence
54B20 Hyperspaces in general topology
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