λ- statistical convergence in fuzzy normed linear spaces

Article type: Research Article

Authors: Türkmen, Muhammed Recai^{a; *} | Çınar, Muhammed^b

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

Correspondence: [*] Corresponding author. Muhammed Recai Türkmen, Afyon Kocatepe University, Department of Mathematics, Afyon, Turkey. E-mail: mrtmath@gmail.com.

Abstract: In this paper, we have introduced λ- statistical convergence and condition of being λ- statistical Cauchy of real number sequences in fuzzy normed linear spaces. At the same time, in fuzzy normed spaces, we have introduced the concept of (V, λ) summability and (C, 1) summability, and then, we have studied the relation between these concepts and λ- statistical convergence.

Keywords: λ- statistical convergence, fuzzy normed linear space, summability

DOI: 10.3233/JIFS-171147

Journal: Journal of Intelligent & Fuzzy Systems, vol. 34, no. 6, pp. 4023-4030, 2018