THE PROXIMAL POINT ALGORITHM IN UNIFORMLY CONVEX METRIC SPACES

被引：10

作者：

Choi, Byoung Jin ^{[1
]}

Ji, Un Cig ^{[2
]}

机构：

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

[2] Chungbuk Natl Univ, Dept Math, Res Inst Math Finance, Cheongju 28644, South Korea

来源：

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2016年 / 31卷 / 04期

基金：

新加坡国家研究基金会;

关键词：

p-uniformly convex metric space; p-resolvent map; proximal point algorithm;

D O I：

10.4134/CKMS.c150114

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce the proximal point algorithm in a p-uniformly convex metric space. We first introduce the notion of p-resolvent map in a p-uniformly convex metric space as a generalization of the Moreau-Yosida resolvent in a CAT(0)-space, and then we secondly prove the convergence of the proximal point algorithm by the p-resolvent map in a p-uniformly convex metric space.

引用

页码：845 / 855

页数：11

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