弱度量空间中的固非扩张映射
度量几何
2022-12-29 v2
摘要
我们引入了弱度量空间中的固非扩张映射这一概念，推广了先前针对巴拿赫空间和某些测地空间的工作。我们证明，对于固非扩张映射，最小位移、线性逃逸率和渐近步长均相等。这推广了Reich和Shafrir的一个定理。
引用
@article{arxiv.2110.13195,
title = {Firm non-expansive mappings in weak metric spaces},
author = {Armando W. Gutiérrez and Cormac Walsh},
journal= {arXiv preprint arXiv:2110.13195},
year = {2022}
}
备注
12 pages. The new Section 3 contains a characterisation of the firm non-expansive mappings of one-dimensional asymmetric normed spaces. The reference list includes new entries. This version has been accepted by Archiv der Mathematik