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Dergiler / Turkish Journal of Mathematics and Computer Science / 2026 / Volume: 18 Issue: 2

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

Ömer Kişi(Bartın Üniversitesi)0000-0001-6844-3092
Dr. Nesar Hossain(Dumkal Institute of Engineering and Technology)0000-0002-2205-3344
Carlos Granados(Universidad de Antioquia, Estudiante de Doctorado en Matemáticas)0000-0002-7754-1468
Sayfa
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Yayın Tarihi
2026-06-30
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In addition, we derive certain foundational results concerning these concepts with respect to $(\Phi,\Psi,\Upsilon)$ in NNS.

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Amaç & Hipotez: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 $(\Phi,\Psi,\Upsilon)$.
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Temel Bulgular & Veri:Furthermore, we establish Cauchy criteria for both $\mathcal{I}$-pointwise and $\mathcal{I}$-uniform convergence in NNS.
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Sonuç & Katkı:In addition, we derive certain foundational results concerning these concepts with respect to $(\Phi,\Psi,\Upsilon)$ in NNS.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Neutrosophic normed space · $t$-norm · $t$-conorm

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.

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Bu Makaleye Atıf Yap

Kişi, Ö., Hossain, D. N., Granados, C. (2026). Recent Advances in the Convergence of Function Sequences in Neutrosophic Normed Spaces via Ideals. Turkish Journal of Mathematics and Computer Science, Volume: 18 Issue: 2. https://doi.org/10.47000/tjmcs.1815791

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