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.

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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. https://doi.org/10.68381/jca15004

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Published by Heldermann Verlag, 2008. Rights now held by Banach Press.