T. Agama /Int. J. Pure & App. Math. Res. 1(1) (2021) 48-54 Page 48 of 54 Article Info Abstract In this paper we introduce and develop the notion of simple close curve magnetization. We provide an application to Bellman’s lost in the forest problem assuming special geometric conditions between the hiker and the boundary of the forest. * Corresponding author: T. Agama, Department of Mathematics, African Institute for Mathematical Science, Ghana. E-mail: theophilus@aims.edu.gh/emperordagama@yahoo.com Simple Close Curve Magnetization and Application to Bellman’s Lost in the Forest Problem T. Agama 1* 1 Department of Mathematics, African Institute for Mathematical Science, Ghana. E-mail: theophilus@aims.edu.gh/emperordagama@yahoo.com Introduction and Problem Statement Bellman’s lost in the forest problem is a central problem which lies at the interface of geometry and optimization. It has its origin dating back in 1995 by the American applied mathematician Bellman (1956). The problem has the following well-known formulation which can be found in Finch and Wetzel (2004). Question 1 (Bellman’s Lost in the Forest Problem): Given a hiker in the forest with his orientation within the forest unbeknownst to him, then what is the best possible decision to be taken to exit in the shortest possible time taking into consideration the shape of the forest and the dimension of the space covering the forest? Much work has been done in studying this problem by a few authors (see Ward, 2008). This presumably has not to do with diminished interest and less popularity but may partly be attributed to the conceivable complexity of any viable tool to studying the problem. Regardless of its inherent difficulty a complete solution has been found and is known for a few class of shapes which are taken to be forest (Ward, 2008). In this paper we introduce and develop the notion of magnetization of simple close curves. Using this notion we devise an algorithm that takes as input the shape of the forest and the dimension within which the forest resides and produce as output the optimal path to be taken by the hiker v   R n . 2. Simple Close Curves with Magnetic Boundaries In this section we introduce the notion of simple close curve with magnetic boundaries equipped magnets. We study this concept and expose some connections with other notions. Volume 1, Issue 1, October 2021 Received : 06 January 2021 Accepted : 17 August 2021 Published : 05 October 2021 doi: 10.51483/IJPAMR.1.1.2021.48-54 © 2021 T. Agama. This is an open access article under the CC BY license (https://creativecommons.org/licenses/by/4.0/ ), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. Keywords: Simple close curve, Magnetization, Magnetic field, Bellman, Forest, Hiker. ISSN: 2789-9160 https://doi.org/10.51483/IJPAMR.1.1.2021.48-54 2789-9160/© 2021. T. Agama. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. T. Agama /Int. J. Pure & App. Math. Res. 1(1) (2021) 48-54 International Journal of Pure and Applied Mathematics Research Publisher's Home Page: https:/ / www.svedbergopen.com/ Research Paper Open Access SvedbergOpen DISSEM INATION OF KNOW LEDGE