Lacunary statistical convergence of sequences of functions in intuitionistic fuzzy normed space

Article type: Research Article

Authors: Karakaya, Vatan | Simsek, Necip | Gürsoy, Faik | Ertürk, Müzeyyen

Affiliations: Department of Mathematical Engineering, Yildiz Technical University, Esenler, Istanbul, Turkey | Department of Mathematics, Istanbul Commerce University, Uskudar, Istanbul, Turkey | Department of Mathematics, Yildiz Technical University, Davutpasa Campus, Esenler, Istanbul, Turkey

Note: [] Corresponding author. Faik Gürsoy, Department of Mathematics, Yildiz Technical University, Davutpasa Campus, Esenler, 34220, Istanbul, Turkey. E-mails: [email protected]; [email protected]

Abstract: In this paper we study lacunary statistical convergence of sequences of functions in intuitionistic fuzzy normed spaces. We define concept of lacunary statistical pointwise convergence and lacunary statistical uniform convergence in intuitionistic fuzzy normed spaces and we give some basic properties of these concepts.

Keywords: Intuitionistic fuzzy normed spaces, statistical convergence, sequence of functions

DOI: 10.3233/IFS-130815

Journal: Journal of Intelligent & Fuzzy Systems, vol. 26, no. 3, pp. 1289-1299, 2014