FURTHER RESULTS ON I-CONVERGENCE OF MULTISET SEQUENCES

The notions of multiset and multiset sequences play an important role in the theory of computation and information sciences. To study convergence properties of multiset sequences, notions of statistical convergence, statistical limit points, and cluster points for multiset sequences were introduced by Debnath and Debnath [5]. Later, in [6], Demir and Gümüş introduced the notions of I-convergence and I^-convergence for multiset sequences to generalize the results in *[5] and investigated the connections between these two notions. In this paper, we extend the results in [6] and introduce and study the notion of I-limit points and I-cluster points for multiset sequences. Further, we introduce and study the notions of I-Cauchy and I^-Cauchy multiset sequences, and establish relationships with the notions of I-convergence and I^-convergence of multiset sequences.