Completeness and Cartesian Product in Neutrosophic Rectangular n-Normed Spaces
DOI:
https://doi.org/10.56405/dngcrj.2025.10.01.02Keywords:
Neutrosophic $n$-normed spaces; rectangular n-normed space; neutrosophic rectangular n-normed space; neutrosophic rectangular nnormed space; the Cartesian product of neutrosophic rectangular n-normed spaces.Abstract
This study introduces the new concept of neutrosophic rectangular $n$-normed spaces, along with essential foundational definitions. It then explores the Cartesian product of such spaces and examines how this operation influences their structural characteristics. The paper demonstrates that the Cartesian product of neutrosophic rectangular $n$-normed spaces retains the same structure. Furthermore, it establishes that the Cartesian product of complete neutrosophic rectangular $n$-normed spaces is itself complete, and presents several related theorems.
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