Spaces of neutrosophic \(\lambda\)-statistical convergence sequences and their properties

Volume 23, Issue 1, pp 1--9 http://dx.doi.org/10.22436/jmcs.023.01.01

Publication Date: September 27, 2020 Submission Date: June 20, 2020 Revision Date: August 07, 2020 Accteptance Date: August 17, 2020

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Authors

Vakeel A. Khan - Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India. Hira Fatima - Department of Institute of Applied Sciences, Mangalayatan University-202001, India. Mohammad Daud Khan - Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India. Ayaz Ahamd - Department of Mathematics, National Institute of Technology, Patna, India.

Abstract

In this paper, we use the notion of \(\lambda\)-statistical convergence in order to generalize these concepts. We establish some inclusion relations between them. We define the statistical convergence and \(\lambda\)-statistical convergence in neutrosophic normed space. We give the \(\lambda\)-statistically Cauchy sequence in neutrosophic normed space and present the \(\lambda\)-statistically completeness in connection with a neutrosophic normed space. Some interesting examples are also displayed here in support of our definitions and results.

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Keywords

• \(t\)-norm
• \(t\)-conorm
• neutrosophic normed space
• statistical convergence
• \(\lambda\)-statistical convergence
• \(\lambda\)-statistical Cauchy

MSC

•  46S40
•  11B39
•  03E72
•  40G15

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