Invariant stati̇sti̇cal and lacunary invariant stati̇sti̇cal convergence of sequences of sets

This thesis consists of five chapters. In the first chapter, historical development of related notions of the subject was mentioned. In the second chapter, some basic definitions, notions and theorems related to study were given. In the third chapter, relationships between Wijsman strongly invariant convergence, Wijsman invariant statistical convergence and relationships between Wijsman strongly lacuanry invariant convergence, Wijsman lacunary invariant statistical convergence for sequences of set were examined. In the fourth chapter, by using f modulus function, Wijsman strongly invariant convergence, Wijsman invariant statistical convergence, Wijsman strongly lacunary invariant convergence and Wijsman lacunary invariant statistical convergence for sequences of set were defined. Relationships between these concepts were examined. In the final chapter, the concepts of asymptotic invariant equivalence (Wijsman sense), asymptotic lacunary invariant equivalence, asymptotic invariant statistical equivalence and asymptotic lacunary invariant statistical equivalence for sequences of set were defined. Relationships between these concepts were examined.