The Fermat-Torricelli problem in normed planes and spaces

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dc.creatorMartini, Horst
dc.creatorSwanepoel, Konrad J
dc.creatorWeiss, Gunter
dc.date2007-07-17
dc.date2007-07-17
dc.date.accessioned2026-07-07T08:18:49Z
dc.date.available2026-07-07T08:18:49Z
dc.descriptionWe investigate the Fermat-Torricelli problem in d-dimensional real normed spaces or Minkowski spaces, mainly for d=2. Our approach is to study the Fermat-Torricelli locus in a geometric way. We present many new results, as well as give an exposition of known results that are scattered in various sources, with proofs for some of them. Together, these results can be considered to be a minitheory of the Fermat-Torricelli problem in Minkowski spaces and especially in Minkowski planes. This demonstrates that substantial results about locational problems valid for all norms can be found using a geometric approach.
dc.identifierhttps://arxiv.org/abs/0707.2592
dc.identifierhttp://arxiv.org/abs/0707.2592
dc.identifierJ. Optim. Theory Appl. 115 (2002), no. 2, 283--314
dc.identifierdoi:10.1023/A:1020884004689
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134564
dc.subjectOptimization and Control
dc.subjectMetric Geometry
dc.subject90B85 (Primary) 46B20, 52A01, 52A21 (Secondary)
dc.titleThe Fermat-Torricelli problem in normed planes and spaces
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