A New Perspective on Generalized Statistical Convergence of Double Sequences in Neutrosophic 2-Normed Spaces
In this paper, we study key characteristics of (λ, µ)-statistical convergence within the neutrosophic 2- norm framework. To deepen the understanding of these concepts, we extend our discussion to [V, λ, µ]-summability under neutrosophic 2-norm structures, leading to the formulation of some important results. Additionally, we explore the notion of (λ, µ)-statistical Cauchy sequences, revealing their intricate relationship with (λ, µ)- statistical convergence in the context of neutrosophic 2-normed spaces. Moreover, we examine the inclusion relationships between the classes of all statistically convergent and (λ, µ)-statistically convergent double sequences, shedding light on their structural interconnections within this mathematical framework in relation to the neutrosophic 2- norm framework.
Authors
- Nesar Hossain (ORCID: https://orcid.org/0000-0002-2205-3344)
- Rahul Mondal
Institutions
- Kanya Maha Vidyalaya (IN)
- Department of Science and Technology and Biotechnology (IN)
Publication Details
- Journal
- Fuzzy Sets and Systems
- Published
- 2025-09-16
- DOI
- https://doi.org/10.71602/tfss.2026.1218238
- Primary Topic
- Approximation Theory and Sequence Spaces
- Type
- article
- Field-Weighted Citation Impact
- 0.00