aspg-21-3765-1791472116 20261008150836 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2025 26 3 M. Rathivel Research Scholar, P.G. and Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai, Affiliated to Alagappa University, Karaikudi, Tamilnadu, India M. Jeyaraman P.G. and Associate Professor, Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai, Affiliated to Alagappa University, Karaikudi, Tamilnadu, India Rahul Shukla Faculty of Natural Sciences, Department of Mathematical Sciences and Computing, Walter Sisulu University, Mthatha 5117, South Africa In this paper, we researched and confirmed some of the axioms of NOPCMS (Neutrosophic orthogonal pentagonal controlled metric space). We used NOPCMS to translate the Banach contraction principle in the formerly defined spaces. Several cases were numerically evaluated, and certain findings were supported, in or- der to review what we found. Furthermore, by demonstrating their existence with a unique and comprehensive solution, we deliver proof of usage and implementation. 2025 105 131 3765 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.260308 https://www.americaspg.com/journal/21/article/3765 https://www.americaspg.com/storage/81744491344.pdf