Statistical Convergence of Sequences in Neutrosophic N-Normed Linear Spaces

Abstract

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. © 2026, Research Expansion Alliance (REA). All rights reserved.