On convergence of infinite products of convex combinations of mappings in CAT(0) spaces

被引：0
|
作者：
Espinola-Garcia, Rafael [1 ]
Huczek, Aleksandra [2 ]
机构：
[1] Univ Seville, Dept Math Anal IMUS, Seville, Spain
[2] Pedag Univ Krakow, Dept Math, Krakow, Poland
来源：
ARABIAN JOURNAL OF MATHEMATICS | 2023年 / 12卷 / 02期
关键词：
46A45; 46A50; 46B20; 46B25; 46B45; WEAK-CONVERGENCE; CONTRACTIONS;
D O I：
10.1007/s40065-023-00434-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the weak convergence of infinite products of convex combinations of operators in complete CAT(0) spaces. We provide a new approach to this problem by considering a constructive selection of convex combinations in CAT(0) spaces that does not depend on the order of the involved elements and retain continuity properties with respect to them.
引用
收藏
页码：353 / 361
页数：9
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