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International Journal of Neutrosophic Science
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Title

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

  Archana Sharma 1 * ,   Sajid Murtaza 2 ,   Vijay Kumar 3

1  Department of Mathematics, Chandigarh University, Gharuan Mohali (Punjab), India
    (dr.archanasharma1022@gmail.com)

2  Department of Mathematics, Chandigarh University, Gharuan Mohali (Punjab), India
    (sajidsulimani8@gmail.com)

3  Department of Mathematics, Chandigarh University, Gharuan Mohali (Punjab), India
    (kaushikvjy@gmail.com)


Doi   :   https://doi.org/10.54216/IJNS.190105

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 as :
Style #
MLA Archana Sharma, Sajid Murtaza, Vijay Kumar. "Some remarks on ∆m (Iλ )-summability on neutrosophic normed spaces." International Journal of Neutrosophic Science, Vol. 19, No. 1, 2022 ,PP. 68-81 (Doi   :  https://doi.org/10.54216/IJNS.190105)
APA Archana Sharma, Sajid Murtaza, Vijay Kumar. (2022). Some remarks on ∆m (Iλ )-summability on neutrosophic normed spaces. Journal of International Journal of Neutrosophic Science, 19 ( 1 ), 68-81 (Doi   :  https://doi.org/10.54216/IJNS.190105)
Chicago Archana Sharma, Sajid Murtaza, Vijay Kumar. "Some remarks on ∆m (Iλ )-summability on neutrosophic normed spaces." Journal of International Journal of Neutrosophic Science, 19 no. 1 (2022): 68-81 (Doi   :  https://doi.org/10.54216/IJNS.190105)
Harvard Archana Sharma, Sajid Murtaza, Vijay Kumar. (2022). Some remarks on ∆m (Iλ )-summability on neutrosophic normed spaces. Journal of International Journal of Neutrosophic Science, 19 ( 1 ), 68-81 (Doi   :  https://doi.org/10.54216/IJNS.190105)
Vancouver Archana Sharma, Sajid Murtaza, Vijay Kumar. Some remarks on ∆m (Iλ )-summability on neutrosophic normed spaces. Journal of International Journal of Neutrosophic Science, (2022); 19 ( 1 ): 68-81 (Doi   :  https://doi.org/10.54216/IJNS.190105)
IEEE Archana Sharma, Sajid Murtaza, Vijay Kumar, Some remarks on ∆m (Iλ )-summability on neutrosophic normed spaces, Journal of International Journal of Neutrosophic Science, Vol. 19 , No. 1 , (2022) : 68-81 (Doi   :  https://doi.org/10.54216/IJNS.190105)