Fibonacci statistical convergence on intuitionistic fuzzy normed spaces

Article type: Research Article

Authors: Kirişci, Murat^{; *}

Affiliations: Department of Mathematical Education, Hasan Ali Yücel Education Faculty, Istanbul University-Cerrahpaşa, Fatih, Istanbul, Turkey

Correspondence: [*] Corresponding author. Murat Kirişci, Department of Mathematical Education, Hasan Ali Yücel Education Faculty, Istanbul University-Cerrahpaşa, 34470, Fatih, Istanbul, Turkey. Tel: +905309284921; E-mails: [email protected] and [email protected]..

Abstract: In this paper, we study the concept of Fibonacci statistical convergence on intuitionisitic fuzzy normed space. We define the Fibonacci statistically Cauchy sequences with respect to an intuitionisitic fuzzy normed space and introduce the Fibonacci statistical completenes with respect to an intuitionisitic fuzzy normed space.

Keywords: intuitionistic fuzzy normed space, Fibonacci numbers, statistical convergenc, Fibonacci statistical Cauchy, statistical completeness

DOI: 10.3233/JIFS-181455

Journal: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 6, pp. 5597-5604, 2019