ON I-CONVERGENCE CLASSES INDUCED BY MODULUS FUNCTIONS IN NEUTROSOPHIC 2-NORMED LINEAR SPACES

Abstract

This research article investigates new types of I-convergent sequence spaces, ZI (N<inf>2</inf>)(f) and Z0I (N<inf>2</inf>)(f), induced by modulus functions within the framework of neutrosophic 2-normed space. An open ball within ZI (N<inf>2</inf>)(f) is introduced, utilizing modulus functions to establish a novel structural framework. Furthermore, several topological properties, including linearity and Hausdorffness of ZI (N<inf>2</inf>)(f), are examined via modulus functions and the neutrosophic 2-norm. Additionally, various results related to the space ZI (N<inf>2</inf>)(f) are established through the neutrosophic 2-norm, contributing to the theoretical framework and enhancing the understanding of its structural properties. © 2025, Gakko Tosho Co. Ltd.. All rights reserved.