aspg-21-3013-1791472298 20261008151138 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2024 24 4 Alaa Adnan Auad Department of Mathematics, College of Education for pure science, University of Al-Anbar, Iraq Mohammed A. Hilal Middle Technical University, Technical Institute of Baquba, Diyala, Iraq 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. 2024 389 396 3013 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.240429 https://www.americaspg.com/journal/21/article/3013 https://www.americaspg.com/storage/81720543056.pdf