@article{Osinuga_Ayinde_Oguntuase_Adebayo_2020, title={On Fermat-Torricelli Problem in Frechet Spaces}, volume={3}, url={https://www.nepjol.info/index.php/jnms/article/view/33956}, DOI={10.3126/jnms.v3i2.33956}, abstractNote={<p>We study the Fermat-Torricelli problem (FTP) for Frechet space X, where X is considered as an inverse limit of projective system of Banach spaces. The FTP is defined by using fixed countable collection of continuous seminorms that defines the topology of X as gauges. For a finite set A in X consisting of n distinct and fixed points, the set of minimizers for the sum of distances from the points in A to a variable point is considered. In particular, for the case of collinear points in X, we prove the existence of the set of minimizers for FTP in X and for the case of non collinear points, existence and uniqueness of the set of minimizers are shown for reflexive space X as a result of strict convexity of the space.</p>}, number={2}, journal={Journal of Nepal Mathematical Society}, author={Osinuga, I.A. and Ayinde, S.A. and Oguntuase, J.A. and Adebayo, G.A.}, year={2020}, month={Dec.}, pages={16–26} }