Recent Advances in the Convergence of Function Sequences in Neutrosophic Normed Spaces via Ideals
In this article, we introduce the notions of $\mathcal{I}$-pointwise convergence and $\mathcal{I}$-uniform convergence for sequences of functions defined on a neutrosophic normed space (NNS) with respect to the neutrosophic norm $(\Phi,\Psi,\Upsilon)$. Furthermore, we establish Cauchy criteria for both $\mathcal{I}$-pointwise and $\mathcal{I}$-uniform convergence in NNS. In addition, we derive certain foundational results concerning these concepts with respect to $(\Phi,\Psi,\Upsilon)$ in NNS.
Authors
- Ömer Kı̇şı̇ (ORCID: https://orcid.org/0000-0001-6844-3092)
- Carlos G̃ranados (ORCID: https://orcid.org/0000-0002-7754-1468)
- Nesar Hossain (ORCID: https://orcid.org/0000-0002-2205-3344)
Institutions
- Bartin University (TR)
- Universidad de Antioquia (CO)
- Dhaka University of Engineering & Technology (BD)
Publication Details
- Journal
- Turkish Journal of Mathematics and Computer Science
- Published
- 2026-06-30
- DOI
- https://doi.org/10.47000/tjmcs.1815791
- Primary Topic
- Approximation Theory and Sequence Spaces
- Type
- article
- Field-Weighted Citation Impact
- 0.00