On statistically convergent sequences of closed sets

Talo Ö., Sever Y., Başar F.

Filomat, cilt.30, sa.6, ss.1497-1509, 2016 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 6
  • Basım Tarihi: 2016
  • Doi Numarası: 10.2298/fil1606497t
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1497-1509
  • Anahtar Kelimeler: Kuratowski statistical convergence, Sequence of sets, Statistical convergence, Statistical inner limit, Statistical outer limit
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this paper, we give the definitions of statistical inner and outer limits for sequences of closed sets in metric spaces. We investigate some properties of statistical inner and outer limits. For sequences of closed sets if its statistical outer and statistical inner limits coincide, we say that the sequence is Kuratowski statistically convergent. We prove some proporties for Kuratowski statistically convergent sequences. Also, we examine the relationship between Kuratowski statistical convergence and Hausdorff statistical convergence.