On lacunary statistical convergence of double sequences and some properties in fuzzy normed spaces

Article type: Research Article

Authors: Türkmen, Muhammed Recai^{a; *; 1} | Dündar, Erdinç^b

Affiliations: [a] Department of Mathematics, Faculty of Education, Afyon Kocatepe University, Afyonkarahisar, Turkey | [b] Department of Mathematics, Faculty of Science and Literature, Afyon Kocatepe University, Afyonkarahisar, Turkey

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

Note: [1] This study supported by Afyon Kocatepe University Scientific Research Coordination Unit with the project number 18.KARIYER.87.

Abstract: In this study, we have investigated the concepts of lacunary summable, lacunary statistical convergence and lacunary statistically Cauchy sequence for double sequences in fuzzy normed spaces. Also, we have investigated some properties and relationships between these concepts.

Keywords: Double sequences, statistical convergence, fuzzy numbers, fuzzy normed spaces, lacunary sequences

DOI: 10.3233/JIFS-18841

Journal: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 2, pp. 1683-1690, 2019