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.
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页码：116 / 125
页数：10
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