On statistical convergence of sequences of sets

This thesis consists of six main parts. In the first part, the historical development of the subject and a general literature about it are given. In the second part, basic definitions, notations and theorems necessary for our work are illustrated. In the third part, statistical convergence concepts for sequences of sets, their unique properties and relations between these concepts are discussed. In the fourth part, Cesaro summability concepts for sequences of sets are introduced and the relations of these concepts between statistical convergence of sequences of sets are indicated. In the fifth part, almost convergence concepts and almost statistical convergence concept for sequences of sets are given and the relations between them are discussed. In the sixth part, lacunary statistical convergence for sequences of sets are introduced and its relation with statistical convergence of sequences of sets is denoted.