DOI: 10.47000/tjmcs.1815791 ISSN: 2148-1830

Recent Advances in the Convergence of Function Sequences in Neutrosophic Normed Spaces via Ideals

Ömer Kişi, Dr. Nesar Hossain, Carlos Granados
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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.

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