International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/3013 2020 2020 Department of Mathematics, College of Education for pure science, University of Al-Anbar, Iraq Alaa Alaa Middle Technical University, Technical Institute of Baquba, Diyala, Iraq Mohammed A. Hilal 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 2024 389 396 10.54216/IJNS.240429 https://www.americaspg.com/articleinfo/21/show/3013