Ideal convergence of sequences in neutrosophic normed spaces

Article type: Research Article

Authors: Kişi, Ömer^{; *}

Affiliations: Department of Mathematics, Bartın University, Faculty of Science, Bartın, Turkey

Correspondence: [*] Corresponding author. Ömer Kişi. E-mail: okisi@bartin.edu.tr.

Abstract: Statistical convergence of sequences has been studied in neutrosophic normed spaces (NNS) by Kirişci and Şimşek [39]. Ideal convergence is more general than statistical convergence for sequences. This has motivated us to study the ideal convergence in NNS. In this paper, we study the concept of ideal convergence and ideal Cauchy for sequences in NNS.

Keywords: Neutrosophic normed spaced, ideal convergence, ideal Cauchy sequence, t-norm, t-conorm

DOI: 10.3233/JIFS-201568

Journal: Journal of Intelligent & Fuzzy Systems, vol. 41, no. 2, pp. 2581-2590, 2021