Firm non-expansive mappings in weak metric spaces

被引：0
|
作者：
Gutierrez, Armando W. [1 ,2 ]
Walsh, Cormac [1 ,2 ]
机构：
[1] Ecole Polytech, CNRS, INRIA, F-91128 Palaiseau, France
[2] Ecole Polytech, CNRS, CMAP, F-91128 Palaiseau, France
来源：
ARCHIV DER MATHEMATIK | 2022年 / 119卷 / 04期
关键词：
Non-expansive mapping; Weak metric; Firmly non-expansive; Firm non-expansive; Metric functional; ASYMPTOTIC-BEHAVIOR; NONEXPANSIVE-MAPPINGS; HOROFUNCTION BOUNDARY; HILBERT;
D O I：
10.1007/s00013-022-01759-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce the notion of a firm non-expansive mapping in weak metric spaces, extending previous work for Banach spaces and certain geodesic spaces. We prove that, for firm non-expansive mappings, the minimal displacement, the linear rate of escape, and the asymptotic step size are all equal. This generalises a theorem by Reich and Shafrir.
引用
收藏
页码：389 / 400
页数：12
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