Rough Convergence of Double Sequences in $n-$Normed Spaces

Authors : Mukaddes Arslan, Ramazan Sunar

Pages : 1-11

Doi:10.36753/mathenot.1308678

View : 109 | Download : 108

Publication Date : 2024-01-28

Article Type : Research Paper

Abstract :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.
Keywords : Cauchy sequence, Double sequence, n normed space, Rough convergence

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