The Weighted Fermat-Torricelli Problem and an "Inverse" Problem
Journal of convex analysis, Tome 15 (2008) no. 1, pp. 55-62
Cet article a éte moissonné depuis la source Heldermann Verlag
We study the weighted Fermat-Torricelli point of spherical, hyperbolic and plane triangles and an inverse weighted Fermat-Torricelli problem. We show that a fundamental application of the inverse weighted Fermat-Torricelli problem is the invariance property of the weighted Fermat-Torricelli point.
Classification :
51E10, 52A55
Mots-clés : Fermat-Torricelli point, inverse Fermat-Torricelli problem
Mots-clés : Fermat-Torricelli point, inverse Fermat-Torricelli problem
@article{JCA_2008_15_1_JCA_2008_15_1_a3,
author = {A. N. Zachos and G. Zouzoulas},
title = {The {Weighted} {Fermat-Torricelli} {Problem} and an {"Inverse"} {Problem}},
journal = {Journal of convex analysis},
pages = {55--62},
year = {2008},
volume = {15},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JCA_2008_15_1_JCA_2008_15_1_a3/}
}
A. N. Zachos; G. Zouzoulas. The Weighted Fermat-Torricelli Problem and an "Inverse" Problem. Journal of convex analysis, Tome 15 (2008) no. 1, pp. 55-62. http://geodesic.mathdoc.fr/item/JCA_2008_15_1_JCA_2008_15_1_a3/