New Convergence Definitions for Sequences of Sets


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KISI O., NURAY F.

ABSTRACT AND APPLIED ANALYSIS, 2013 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2013
  • Doi Number: 10.1155/2013/852796
  • Title of Journal : ABSTRACT AND APPLIED ANALYSIS

Abstract

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.