论文标题
锥体和不对称矢量规范的亚基缩回
Subadditive retractions on cones and asymmetric vector norms
论文作者
论文摘要
不对称矢量规范是对不对称规范的概括,在该规范中,以有序的矢量空间意义了解了亚ad的不等式。这种关系对秩序本身施加了强烈的条件。本说明在一般情况下研究了这些条件,在不对称矢量规范的情况下,是对圆锥体的度量投影产生订单关系的情况。
Asymmetric vector norms are generalizations of asymmetric norms, where the subadditivity inequality is understood in ordered vector space sense. This relation imposes strong conditions on the ordering itself. This note studies on these conditions in the general case, and in the case when the asymmetric vector norm is the metric projection onto the cone engendering the order relation.