Quasi-invariant convergence of sequences of sets

This thesis consists of six chapters. In the first chapter, historical development of related notions of the thesis subject was mentioned. In the second chapter, some basic definitions, notions and theorems related to study were given. In the third chapter, the concepts of Wijsman quasi-almost convergence, Wijsman strongly quasi-almost convergence and Wijsman quasi-almost statistically convergence were given and the relationships between them were examined. Also the concept of Wijsman quasi-almost statistically Cauchy sequence was defined and the relationship between this concept and Wijsman quasi-almost statistically convergence was studied. In the fourth chapter, concepts of Wijsman strongly quasi-invariant convergence and Wijsman quasi-invariant statistically convergence were defined. In the fifth chapter, the relationship between Wijsman strongly $q$-quasi almost lacunary convergence and Wijsman quasi-almost lacunary statistically convergence was analysed. In the final chapter, the concepts of Wijsman quasi-lacunary invariant convergence and Wijsman strongly quasi-lacunary invariant convergence were defined, also the relationships between these concepts and notions which given in previous chapter were examined.