aspg-21-1260-1791475398 20261008160318 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2022 19 1 Archana Sharma Department of Mathematics, Chandigarh University, Gharuan Mohali (Punjab), India Sajid Murtaza Department of Mathematics, Chandigarh University, Gharuan Mohali (Punjab), India Vijay Kumar Department of Mathematics, Chandigarh University, Gharuan Mohali (Punjab), India 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. 2022 68 81 1260 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.190105 https://www.americaspg.com/journal/21/article/1260 https://www.americaspg.com/storage/4656.pdf