Abstract
The Fermat-Torricelli problem is an optimization problem associated with a finite subset \(\{a_{j}\}_{j=1}^{q}\) of ℝN and a family \(\{c_{j}\}_{j=1}^{q}\) of positive weights. The function F to be minimized is defined by \(F(x)=\sum _{j=1}^{q}c_{j}\Vert x-a_{j}\Vert\). In this paper, we extend this problem to the case of volumes.
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Communicated by F. Giannessi.
I would like to thank the Abdus Salam International Centre for Theoretical Physics in Trieste, Italy, for hospitality and for support. I am grateful to the referee for helpful comments and suggestions.
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Tan, T.V. An Extension of the Fermat-Torricelli Problem. J Optim Theory Appl 146, 735–744 (2010). https://doi.org/10.1007/s10957-010-9686-1
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DOI: https://doi.org/10.1007/s10957-010-9686-1