An extension of the Fermat-Torricelli problem

DOI10.1007/s10957-010-9686-1zbMath1213.90235OpenAlexW1980846512MaRDI QIDQ613587

Tran Van Tan

Publication date: 21 December 2010

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-010-9686-1

zbMATH Keywords

Fermat-Torricelli problemsum of volumesvolume of simplex

Mathematics Subject Classification ID

Nonlinear programming (90C30) Discrete location and assignment (90B80)

Related Items (8)

A characterization of the Fermat point in Hilbert spaces ⋮ The Fermat-Torricelli problem. I: A discrete gradient-method approach ⋮ The Fermat-Torricelli theorem in convex geometry ⋮ The generalized Fermat-Torricelli problem in Hilbert spaces ⋮ On some novel methods for solving the generalized Fermat-Torricelli problem in Hilbert spaces ⋮ Optimal Gathering Over Weber Meeting Nodes in Infinite Grid ⋮ Constructions of solutions to generalized Sylvester and Fermat-Torricelli problems for Euclidean balls ⋮ Applications of variational analysis to a generalized Fermat-Torricelli problem

Cites Work

• Unnamed Item
• Geometric methods and optimization problems
• The Fermat-Torricelli point and isosceles tetrahedra
• The Fermat-Weber problem and inner product spaces
• The Fermat--Torricelli problem in normed planes and spaces
• The Fermat-Steiner-Weber-problem in Minkowski spaces
• A note on the Fermat-Torricelli point of a \(d\)-simplex

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