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

页码：353 / 361

页数：9

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