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

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dc.contributor.authorHossain, Nesar
dc.contributor.authorKı?şı?, Ömer
dc.date.accessioned2026-02-22T11:44:05Z
dc.date.created2025
dc.date.issued2025
dc.departmentBartın Üniversitesi
dc.description.abstractThis 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.
dc.identifier.endpage833
dc.identifier.issn1343-4373
dc.identifier.issue2
dc.identifier.scopus2-s2.0-105022939559
dc.identifier.scopusqualityQ4
dc.identifier.startpage819
dc.identifier.urihttps://hdl.handle.net/11772/26952
dc.identifier.volume34
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherGakko Tosho Co. Ltd.
dc.relation.ispartofAdvances in Mathematical Sciences and Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_Scopus_20260218
dc.subjectmodulus function
dc.subjectneutrosophic 2-normed space
dc.subjectt-norm
dc.subjectt-conorm
dc.subjectZweier I-convergent sequence space
dc.titleON I-CONVERGENCE CLASSES INDUCED BY MODULUS FUNCTIONS IN NEUTROSOPHIC 2-NORMED LINEAR SPACES
dc.typeArticle
dspace.entity.typePublication

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