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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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International Journal of Neutrosophic Science
Full Length Article

Volume 19Issue 1PP: 68-81 • 2022

Some remarks on ∆m (Iλ )-summability on neutrosophic normed spaces

Archana Sharma 1* ,
Sajid Murtaza 1 ,
Vijay Kumar 1
1Department of Mathematics, Chandigarh University, Gharuan Mohali (Punjab), India
* Corresponding Author.
Received: March 26, 2022 Accepted: September 04, 2022

Abstract

In the present paper, we use the difference operator ∆m (Iλ )-summability to define some new summability concepts on neutrosophic normed spaces. We also introduce concepts of generalized limit point, and cluster point and obtain some relationships among these notions. Finally, we define generalized Cauchy sequences on these spaces and present a characterization of a new summability method that preserves linear operators on neutrosophic normed spaces.

Keywords

Neutrosophic normed spaces lacunary convergence and I-convergence.

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Cite This Article

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Sharma, Archana, Murtaza, Sajid, Kumar, Vijay. "Some remarks on ∆m (Iλ )-summability on neutrosophic normed spaces." International Journal of Neutrosophic Science, vol. Volume 19, no. Issue 1, 2022, pp. 68-81. DOI: https://doi.org/10.54216/IJNS.190105
Sharma, A., Murtaza, S., Kumar, V. (2022). Some remarks on ∆m (Iλ )-summability on neutrosophic normed spaces. International Journal of Neutrosophic Science, Volume 19(Issue 1), 68-81. DOI: https://doi.org/10.54216/IJNS.190105
Sharma, Archana, Murtaza, Sajid, Kumar, Vijay. "Some remarks on ∆m (Iλ )-summability on neutrosophic normed spaces." International Journal of Neutrosophic Science Volume 19, no. Issue 1 (2022): 68-81. DOI: https://doi.org/10.54216/IJNS.190105
Sharma, A., Murtaza, S., Kumar, V. (2022) 'Some remarks on ∆m (Iλ )-summability on neutrosophic normed spaces', International Journal of Neutrosophic Science, Volume 19(Issue 1), pp. 68-81. DOI: https://doi.org/10.54216/IJNS.190105
Sharma A, Murtaza S, Kumar V. Some remarks on ∆m (Iλ )-summability on neutrosophic normed spaces. International Journal of Neutrosophic Science. 2022;Volume 19(Issue 1):68-81. DOI: https://doi.org/10.54216/IJNS.190105
A. Sharma, S. Murtaza, V. Kumar, "Some remarks on ∆m (Iλ )-summability on neutrosophic normed spaces," International Journal of Neutrosophic Science, vol. Volume 19, no. Issue 1, pp. 68-81, 2022. DOI: https://doi.org/10.54216/IJNS.190105
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