New Convergence Definitions for Sequences of Sets

الملخص EN

Several notions of convergence for subsets of metric space appear in the literature.

In this paper, we define Wijsman I-convergence and Wijsman I*-convergence for sequences of sets and establish some basic theorems.

Furthermore, we introduce the concepts of Wijsman I-Cauchy sequence and Wijsman I*-Cauchy sequence and then study their certain properties.