Statistical convergence in fuzzy normed linear spaces

Sencimen C., PEHLİVAN S.

FUZZY SETS AND SYSTEMS, cilt.159, sa.3, ss.361-370, 2008 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 159 Sayı: 3
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1016/j.fss.2007.06.008
  • Dergi Adı: FUZZY SETS AND SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.361-370
  • Anahtar Kelimeler: fuzzy number, fuzzy normed linear space, statistical convergence, statistically Cauchy sequence, statistical limit point, statistical cluster point, METRIC-SPACES, LIMIT POINTS, SEQUENCES, OPERATORS, NUMBERS
  • Süleyman Demirel Üniversitesi Adresli: Evet

Özet

In this paper we introduce the notions of statistically convergent sequence and statistically Cauchy sequence in a fuzzy normed linear space (FNS) and establish some basic facts. We also define statistical limit points and statistical cluster points of a sequence in an FNS and investigate the relations between these concepts. (C) 2007 Elsevier B.V. All rights reserved.