The Conditions of Extremality of an Admissible Element in the Problem of Finding a Steiner Point of Several Closed Balls of a Certain Polynormed Space with Respect to a Set of this Space Based on the Dual Representation of the Directional Derivative of the Equivalent Best-Approximation Problem

• Date: 2025
• Main Author: Гудима, Уляна
• Format: Article
• Language: Ukrainian
• Published: Кам'янець-Подільський національний університет імені Івана Огієнка 2025
• Online Access: http://mcm-math.kpnu.edu.ua/article/view/345840
• Journal Title: Mathematical and computer modelling. Series: Physical and mathematical sciences

As is well known (see, for example, [1, p. 47]), the classical Steiner problem in a linear normed space consists in finding, within a given set of this space, a point (the Steiner point) for which the sum of distances to several fixed points of the space is minimal, that is, does not exceed the sum...