Asymptotic Behavior of Iterates of a Generic Cyclical Nonexpansive Mapping

被引：2
|
作者：
Zaslavski, Alexander J. [1 ]
机构：
[1] Technion Israel Inst Technol, Dept Math, Haifa, Israel
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2022年 / 43卷 / 01期
关键词：
Complete metric space; cyclical mapping; generic element; iterate; CONVERGENCE; CONTRACTIONS; PROXIMITY; THEOREMS; APPROXIMATION; EXISTENCE; POINTS;
D O I：
10.1080/01630563.2022.2029484
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider a complete metric space of cyclical nonexpansive mappings acting on a union of two sets in a complete hyperbolic space with an empty intersection. Using Baire category approach, we show for most mappings the distance between iterates converges to the distance between these two sets.
引用
收藏
页码：116 / 125
页数：10
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