CONVERGENCE OF INEXACT ITERATES OF AN ALGORITHM BASED ON UNIONS OF NONEXPANSIVE MAPPINGS

被引：0
|
作者：
Zaslavski A.J. [1 ]
机构：
[1] Department of Mathematics, Technion-Israel Institute of Technology, Haifa
来源：
Applied Set-Valued Analysis and Optimization | 2023年 / 5卷 / 02期
关键词：
Convergence analysis; Fixed point; Nonexpansive mapping; Set-valued mapping;
D O I：
10.23952/asvao.5.2023.2.11
中图分类号：
TU19 [建筑勘测]; TV22 [水工勘测水工设计];
学科分类号：
0814 ; 081503 ;
摘要：
In this paper, we obtain a generalization of a recent result of Tam (2018) which is for iterates of a set-valued paracontracting operators in a finite-dimensional space. Our result in this paper is obtained for operators in a metric space such that every its bounded and closed set is compact. We establish a convergence of inexact iterates of the set-valued operator by taking into account computational errors. © 2023 Applied Set-Valued Analysis and Optimization.
引用
收藏
页码：285 / 289
页数：4
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