Convergences of Alternating Projections in Spaces

被引：0

作者：

Choi, Byoung Jin ^{[1
]}

Ji, Un Cig ^{[2
]}

Lim, Yongdo ^{[1
]}

机构：

[1] Sungkyunkwan Univ, Dept Math, Suwon 16419, South Korea

[2] Chungbuk Natl Univ, Inst Ind & Appl Math, Dept Math, Cheongju 28644, South Korea

来源：

CONSTRUCTIVE APPROXIMATION | 2018年 / 47卷 / 03期

基金：

新加坡国家研究基金会;

关键词：

CAT(kappa) space; Alternating projection method; Alternating von Neumann sequence; Asymptotic regularity; Delta-convergence; FIRMLY NONEXPANSIVE-MAPPINGS; ASYMPTOTIC-BEHAVIOR; INFINITE PRODUCTS; GEODESIC SPACES; HADAMARD SPACES; BANACH-SPACES; OPERATORS; POINT; ALGORITHMS; THEOREMS;

D O I：

10.1007/s00365-017-9382-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish the asymptotic regularity and the -convergence of the sequence constructed by alternating projections onto closed convex sets in a space with . Furthermore, the strong convergence of the alternating von Neumann sequence is presented under certain regularity or compactness conditons.

引用

页码：391 / 405

页数：15

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