New Convergence Definitions for Sequences of Sets

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KISI O., NURAY F.

ABSTRACT AND APPLIED ANALYSIS, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1155/2013/852796
  • Dergi Adı: ABSTRACT AND APPLIED ANALYSIS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

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.