International Journal of Neutrosophic Science

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Volume 24 , Issue 4 , PP: 389-396, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

Some results on approximation in neutrosophic normed space

Alaa Adnan Auad 1 * , Mohammed A. Hilal 2

  • 1 Department of Mathematics, College of Education for pure science, University of Al-Anbar, Iraq - (alaa.adnan.auad@uoanbar.edu.iq)
  • 2 Middle Technical University, Technical Institute of Baquba, Diyala, Iraq - (mohammed_azeez_hilal@mtu.edu.iq)
  • Doi: https://doi.org/10.54216/IJNS.240429

    Received: November 21, 2023 Revised: February 07, 2024 Accepted: May 19, 2024
    Abstract

    Neutrosophic normed linear spaces are the main significant notion in the study of classical functional analysis under a neutrosophic environment to handle indeterminate and inconsistent information. Where the neutrosophic norm function assigns to each vector in the linear space a neutrosophic number, which is a number with a truth, indeterminacy, and falsity component. The main aim of this work is to study and discuss the important properties of proximinality of specific sets and new results for a large class in neutrosophic normed space. Moreover, we show some results closely related proximainality of classes to the normed construction in the space. Also, we prove achieved for generalized sets in neutrosophic normed space, most marks on convexity and Cheby-shevity classes are considered.

    Keywords :

    Neutrosophic set , proximinality , Convexity class: Cheby-shevity class , Neutrosophic normed space

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    Cite This Article As :
    Adnan, Alaa. , A., Mohammed. Some results on approximation in neutrosophic normed space. International Journal of Neutrosophic Science, vol. , no. , 2024, pp. 389-396. DOI: https://doi.org/10.54216/IJNS.240429
    Adnan, A. A., M. (2024). Some results on approximation in neutrosophic normed space. International Journal of Neutrosophic Science, (), 389-396. DOI: https://doi.org/10.54216/IJNS.240429
    Adnan, Alaa. A., Mohammed. Some results on approximation in neutrosophic normed space. International Journal of Neutrosophic Science , no. (2024): 389-396. DOI: https://doi.org/10.54216/IJNS.240429
    Adnan, A. , A., M. (2024) . Some results on approximation in neutrosophic normed space. International Journal of Neutrosophic Science , () , 389-396 . DOI: https://doi.org/10.54216/IJNS.240429
    Adnan A. , A. M. [2024]. Some results on approximation in neutrosophic normed space. International Journal of Neutrosophic Science. (): 389-396. DOI: https://doi.org/10.54216/IJNS.240429
    Adnan, A. A., M. "Some results on approximation in neutrosophic normed space," International Journal of Neutrosophic Science, vol. , no. , pp. 389-396, 2024. DOI: https://doi.org/10.54216/IJNS.240429