Statistical convergence of sequences in neutrosophic n-normed linear spaces
نویسندگان
1 Department of Basic Science and Humanities, Dumkal Institute of Engineering and Technology, West Bengal 742406, India.
2 Department of Mathematics, Bartın University, 74100, Bartın, Turkey.
doi
10.22105/jfea.2025.512136.1839چکیده
In this research paper, we present a comprehensive investigation into statistical convergence and statistical Cauchy sequences within the framework of neutrosophic n-normed linear spaces. We introduce the concept of open sets and the topology induced by the neutrosophic n-norm, laying the groundwork for a novel analytical perspective. Furthermore, we delve deeply into the notions of statistical limit points and statistical cluster points of sequences, highlighting their intricate relationships and rigorously establishing the set inclusions between these two concepts in this enriched mathematical structure.