Geodesic
New types of convergence of double sequences in neutrosophic fuzzy $G$-metric spaces
Khan, V. A.1 ; Kisi, O.2 ; Akbiyik, R.2
1 Department of Mathematics‎, Aligarh Muslim University, Aligarh-202002, Uttar‎ ‎Pradesh, ‎India
2 Department of Mathematics, Bartın University, Bartın-74100, Turkey
Journal of nonlinear sciences and its applications, Tome 17 (2024) no. 4, p. 150-179.

Voir la notice de l'article provenant de la source International Scientific Research Publications

‎In this study‎, ‎we present statistical convergence‎, ‎statistical limit points‎, ‎and statistical cluster points of double sequences in neutrosophic fuzzy‎ ‎$G$-metric space with order $q$‎, ‎extending the notion of neutrosophic fuzzy‎ ‎metric space‎. ‎We support our assertions with relevant theorems and elucidate‎ ‎them through illustrative examples‎. ‎Following the establishment of statistical‎ ‎convergence and the scrutiny of its properties within these spaces‎, ‎we explore‎ ‎the concepts of lacunary statistical convergence and strongly lacunary‎ ‎convergence of double sequences‎, ‎while also investigating the relationships‎ ‎among them‎. ‎
DOI : 10.22436/jnsa.017.04.01
Classification : 40G15, 40A05, 03B52, 03E72
Keywords: Neutrosophic normed spaces, \(g\)-metric space, statistical convergence, statistical Cauchy sequence, statistical limit points, statistical cluster points

Khan, V. A. 1 ; Kisi, O. 2 ; Akbiyik, R. 2

1 Department of Mathematics‎, Aligarh Muslim University, Aligarh-202002, Uttar‎ ‎Pradesh, ‎India
2 Department of Mathematics, Bartın University, Bartın-74100, Turkey 
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Khan, V. A.; Kisi, O.; Akbiyik, R. New types of convergence of double sequences in neutrosophic fuzzy \(G\)-metric spaces. Journal of nonlinear sciences and its applications, Tome 17 (2024) no. 4, p. 150-179. doi : 10.22436/jnsa.017.04.01. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.017.04.01/

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