The Weighted Fermat-Torricelli Problem and an "Inverse" Problem

Anastasios N. Zachos; Gerasimos Zouzoulas

Abstract

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.

Author information

Contact details are reproduced from the original publication and may be historical.

Anastasios N. Zachos

University of Patras, Dept. of Mathematics, 26500 Rion, Greece

zaxos@master.math.upatras.gr

Gerasimos Zouzoulas

Meintani 25, 117-41 Athens, Greece

pantarei@zouzoulas.gr

Keywords

Fermat-Torricelli point
inverse Fermat-Torricelli problem

Mathematics Subject Classification

51E10, 52A55

Suggested citation

A. N. Zachos, G. Zouzoulas. “The Weighted Fermat-Torricelli Problem and an "Inverse" Problem.” Journal of Convex Analysis 15 (2008), No. 1, 55–62.