On the geometry and fixed point free mappings in hyperbolic spaces

被引：0

作者：

Piatek, Bozena ^{[1
]}

机构：

[1] Silesian Tech Univ, Inst Math, PL-44100 Gliwice, Poland

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2018年 / 20卷 / 03期

关键词：

CAT(kappa) space; fixed point free mapping; Gromov product; visual boundary; NONEXPANSIVE-MAPPINGS; PROPERTY;

D O I：

10.1007/s11784-018-0581-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the paper, we focus on two problems in geodesic hyperbolic spaces. First, we will consider the behavior of Picard iterative sequences of fixed point free nonexpansive mappings in spaces of constant curvature. Second, motivated by Hotchkiss (Proc Am Math Soc 125:1903-1912, 1997) we will show under which additional assumptions the Gromov boundary of a hyperbolic space equipped with the topology defined by the visual metric coincides with the geodesic boundary equipped with the cone topology.

引用

页数：12

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