Statistical convergence of order β in fuzzy normed linear spaces

Article type: Research Article

Authors: Çınar, Muhammed^{a; *} | Et, Mikail^b

Affiliations: [a] Department of Mathematics, Mus Alparslan University, Muş, Turkey | [b] Department of Mathematics, Firat University, Elazig, Turkey

Correspondence: [*] Corresponding author. Muhammed Çınar, Mus Alparslan University, Department of Mathematics, Muş, Turkey. Tel.: +90 4362494949; Fax: +90 4362491318; E-mail: [email protected].

Abstract:  In this paper, we introduce the concepts of statistically convergent sequences of order β and statistically Cauchy sequences of order β in fuzzy normed spaces. Furthermore, we give the relations between statistically convergent sequences of order β and statistically Cauchy sequences of order β.

Keywords: Statistical convergence, fuzzy normed linear space, summability

DOI: 10.3233/JIFS-181451

Journal: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 4, pp. 3535-3540, 2019