On generic convergence of successive approximations of mappings with convex and compact point images

被引：0
作者：
Christian Bargetz
Emir Medjic
Katriin Pirk
机构：
[1] University of Innsbruck,Department of Mathematics
来源：
Monatshefte für Mathematik | 2023年 / 202卷
关键词：
Banach space; Generic property; Set-valued nonexpansive mapping; Successive approximations; 47H04; 47H09; 47H10; 54E52;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the generic behavior of the method of successive approximations for set-valued mappings in separable Banach spaces. We consider the case of nonexpansive mappings with convex and compact point images and show that for the typical such mapping and typical points of its domain the sequence of successive approximations is unique and converges to a fixed point of the mapping.
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页码：659 / 683
页数：24
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