Recent Advances in the Convergence of Function Sequences in Neutrosophic Normed Spaces via Ideals
Year: 2026
Type: article
Abstract: 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 Kişi, Dr. Nesar Hossain, Carlos Granados
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7166745810