Affiliations: Department of Mathematics, Istanbul Commerce University, Üsküdar, Istanbul, Turkey | Department of Mathematics, Suleyman Demirel University, Isparta, Turkey
Note: [] Corresponding author. Mehmet Gürdal, Department of Mathematics, Suleyman Demirel University, 32260 Isparta, Turkey. Tel.: +90 246 2114101; Fax: +90 246 2371106; E-mails: [email protected]; [email protected]
Abstract: In this paper, we introduce a new type of convergence for a sequence of function, namely, λ-statistically convergent sequences of functions in fuzzy 2-normed space, which is a natural generalization of convergence in fuzzy 2-normed space. In particular, we introduce the concepts of uniform λ-statistical convergence and pointwise λ-statistical convergence in the topology induced by fuzzy 2-normed spaces, and give some basic properties of these concepts.
Keywords: λ-statistical convergence, fuzzy 2-normed space, the sequences of functions
