TY - JOUR T1 - Rough Convergence of Double Sequences in $n-$Normed Spaces AU - Arslan, Mukaddes AU - Sunar, Ramazan PY - 2024 DA - January Y2 - 2023 DO - 10.36753/mathenot.1308678 JF - Mathematical Sciences and Applications E-Notes JO - Math. Sci. Appl. E-Notes PB - Murat TOSUN WT - DergiPark SN - 2147-6268 SP - 1 EP - 11 VL - 12 IS - 1 LA - en AB - In this study, we introduced the concepts of rough convergence, rough Cauchy double sequence, and the set of rough limit points of a double sequence, as well as the rough convergence criteria associated with this set in $n$-normed spaces. Later, we proved that this set is both closed and convex. Finally, we presented the relationships between rough convergence and rough Cauchy double sequence in $n$-normed spaces. KW - Cauchy sequence KW - Double sequence KW - $n-$normed space KW - Rough convergence CR - [1] Gähler, S.: 2-metrische Räume und ihre topologische struktur. Mathematische Nachrichten. 26, 115-148 (1963). 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International Journal of Mathematics and Mathematical Sciences. 27 (10), 631-639 (2001). https://doi.org/10.1155/S0161171201010675 UR - https://doi.org/10.36753/mathenot.1308678 L1 - https://dergipark.org.tr/en/download/article-file/3183697 ER -