Statistical convergence in fuzzy normed linear spaces

Authors:
C. Şençı.men;S. Pehlı.van
Affiliations:
Department of Mathematics, Süleyman Demirel University, 32260 Isparta, Turkey;Department of Mathematics, Süleyman Demirel University, 32260 Isparta, Turkey
Venue:
Fuzzy Sets and Systems
Year:
2008

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Abstract

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.