论文标题
在规范飞机中三分集的情况下，Fermat-Torricelli问题
The Fermat-Torricelli problem in the case of three-point sets in normed planes
论文作者
论文摘要
在本文中，考虑了费马特 - 托里克利问题。这个问题要求一个点最小化距离的总和，以任意给出d维实际规范空间中的点。概述了此问题的各种概括，当前的解决方法，并提出了该领域的一些结果。该文章的目的是找到以下问题的答案：在飞机上的规范上是Fermat-Torricelli问题的解决方案。还显示了在工作中制定和证明唯一性标准，此外，还显示了标准对常规多边形设定的规范的应用，所谓的lambda平面。
In the paper the Fermat-Torricelli problem is considered. The problem asks a point minimizing the sum of distances to arbitrarily given points in d-dimensional real normed spaces. Various generalizations of this problem are outlined, current methods of solving and some recent results in this area are presented. The aim of the article is to find an answer to the following question: in what norms on the plane is the solution of the Fermat-Torricelli problem unique for any three points. The uniqueness criterion is formulated and proved in the work, in addition, the application of the criterion on the norms set by regular polygons, the so-called lambda planes, is shown.
