I-convergence of sequences of sets

This thesis consists of five chapters. The first chapter is devoted to the introduction section and provides a general knowledge of literature. In the second chapter, we have given about the basic concepts needed. In the third chapter, Wijsman I-convergence and Wijsman I*-convergence of set sequences were defined and some inclusion relations between them were established. Also, Wijsman I-limit sets and Wijsman I-cluster sets of set sequences were defined and the theorems which give relation between them were proved. In the fourth chapter, the notion of S_λ^L (I)-asymptotically statistical equivalence for sequences of sets was given and its relation with I-asymptotically statistical equivalence, strong λ_I-asymptotically equivalence and strong (Cesaro) ̀ I-asymptotically equivalence for sequences of sets were given. In the fifth chapter, the concept of Wijsman I-asymptotical lacunary statistical equivalence of multiple L for the set sequences was given.