Quasi-Lacunary Invariant Statistical Convergence of Sequences of Sets

Authors : Esra GÜLLE, Uğur ULUSU

Pages : 322-328

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Publication Date : 2020-10-27

Article Type : Research Paper

Abstract :In this study, we give definitions of Wijsman quasi-lacunary invariant convergence, Wijsman quasi-strongly lacunary invariant convergence and Wijsman quasi-strongly $q$-lacunary invariant convergence for sequences of sets. Also we define Wijsman quasi-lacunary invariant statistical convergence. Then, we examine the existence of the relations among these new convergence types and some convergence types for sequences of sets given before. Furthermore, we examine the existence of the relations between some of these new convergence types, too.
Keywords : Quasi invariant convergence, lacunary sequence, statistical convergence, Wijsman convergence, sequences of sets