The modified proximal point algorithm in CAT(0) spaces

被引：31

作者：

Cholamjiak, Prasit ^{[1
]}

机构：

[1] Univ Phayao, Sch Sci, Phayao 56000, Thailand

来源：

OPTIMIZATION LETTERS | 2015年 / 9卷 / 07期

关键词：

Minimization problem; Resolvent identity; CAT(0) space; Halpern's iteration; Firmly nonexpansive mapping; NONEXPANSIVE-MAPPINGS; RIEMANNIAN-MANIFOLDS; MONOTONE-OPERATORS; STRONG-CONVERGENCE; CONVEX; REGULARIZATION;

D O I：

10.1007/s11590-014-0841-8

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

We propose a modified proximal point algorithm for solving minimization problems in CAT(0) spaces. We then prove that the sequence converges to a minimizer of convex objective functions. We finally provide the numerical examples for supporting our main result.

引用

页码：1401 / 1410

页数：10

共 36 条

[1] Newton's method on Riemannian manifolds and a geometric model for the human spine [J].