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Article type: Research Article
Authors: Khan, Vakeel A.a | Rahaman, SK Ashadula | Hazarika, Bipanb; * | Alam, Masoodc
Affiliations: [a] Department of Mathematics, Aligarh Muslim University, Aligarh, India | [b] Department of Mathematics, Gauhati University, Guwahati, India | [c] Department of Mathematics and IT Center for Preparatory Studies, Sultan Qaboos University, Muscat, Sultanate of Oman
Correspondence: [*] Corresponding author. Bipan Hazarika, Department of Mathematics, Gauhati University, Guwahati–781014, India. E-mail: bh_rgu@yahoo.co.in.
Abstract: In this paper, we address some imprecisions in the definition of neutrosophic normed space proposed by Kirişçi and Şimşek [16], Definition 4. We propose a modification to the definition and introduce the notion of rough lacunary statistical convergence in the neutrosophic normed space. Furthermore, we present the idea of rough lacunary statistical cluster points in neutrosophic normed spaces and investigate the relationship between the set of these cluster points and the set of rough lacunary statistical limit points of the aforementioned convergence.
Keywords: Neutrosophic normed space, statistical convergence, rough convergence, rough lacunary statistical convergence
DOI: 10.3233/JIFS-222548
Journal: Journal of Intelligent & Fuzzy Systems, vol. 45, no. 5, pp. 7335-7351, 2023
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