1Department of Basic Science and Humanities, Dumkal Institute of Engineering and Technology, West Bengal 742406, India 2Department of General Required Courses, Mathematics, The Applied College, King Abdulaziz University, Jeddah 21589, Saudi Arabia; Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia 3Escuela Ciencias de la Educación, Universidad Nacional Abierta y a Distancia, Barranquilla, Colombia
Acta mathematica Universitatis Comenianae, Tome 94 (2025) no. 4, pp. 279-296
Citer cet article
Nesar Hossain; Syed A. Mohiuddine; Carlos Granados; Nesar Hossain; Syed A. Mohiuddine; Carlos Granados. Certain aspects of $\mathscr{I}_\lambda$-convergence in neutrosophic 2-normed linear spaces. Acta mathematica Universitatis Comenianae, Tome 94 (2025) no. 4, pp. 279-296. http://geodesic.mathdoc.fr/item/AMUC_2025_94_4_a4/
@article{AMUC_2025_94_4_a4,
author = {Nesar Hossain and Syed A. Mohiuddine and Carlos Granados and Nesar Hossain and Syed A. Mohiuddine and Carlos Granados},
title = { Certain aspects of $\mathscr{I}_\lambda$-convergence in neutrosophic 2-normed linear spaces},
journal = {Acta mathematica Universitatis Comenianae},
pages = {279--296},
year = {2025},
volume = {94},
number = {4},
url = {http://geodesic.mathdoc.fr/item/AMUC_2025_94_4_a4/}
}
TY - JOUR
AU - Nesar Hossain
AU - Syed A. Mohiuddine
AU - Carlos Granados
AU - Nesar Hossain
AU - Syed A. Mohiuddine
AU - Carlos Granados
TI - Certain aspects of $\mathscr{I}_\lambda$-convergence in neutrosophic 2-normed linear spaces
JO - Acta mathematica Universitatis Comenianae
PY - 2025
SP - 279
EP - 296
VL - 94
IS - 4
UR - http://geodesic.mathdoc.fr/item/AMUC_2025_94_4_a4/
ID - AMUC_2025_94_4_a4
ER -
%0 Journal Article
%A Nesar Hossain
%A Syed A. Mohiuddine
%A Carlos Granados
%A Nesar Hossain
%A Syed A. Mohiuddine
%A Carlos Granados
%T Certain aspects of $\mathscr{I}_\lambda$-convergence in neutrosophic 2-normed linear spaces
%J Acta mathematica Universitatis Comenianae
%D 2025
%P 279-296
%V 94
%N 4
%U http://geodesic.mathdoc.fr/item/AMUC_2025_94_4_a4/
%F AMUC_2025_94_4_a4
In this research article, we undertake a detailed study of $\mathscr{I}_\lambda$-convergence and $\mathscr{I}_\lambda$-Cauchy sequences in the setting of neutrosophic 2-normed linear spaces. We further introduce and rigorously examine the notions of $\mathscr{I}_\lambda$-limit points and $\mathscr{I}_\lambda$-cluster points of a sequence, elucidating the intricate relationships between these two concepts within this mathematical framework.