ON THE CONVERGENCE OF INEXACT PROXIMAL POINT ALGORITHM ON HADAMARD MANIFOLDS

被引：14

作者：

Ahmadi, P. ^{[1
]}

Khatibzadeh, H. ^{[1
]}

机构：

[1] Univ Zanjan, Dept Math, Zanjan, Iran

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2014年 / 18卷 / 02期

关键词：

MONOTONE VECTOR-FIELDS; OPERATORS;

D O I：

10.11650/tjm.18.2014.3066

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider the proximal point algorithm to approximate a singularity of a multivalued monotone vector field on a Hadamard manifold. We study the convergence of the sequence generated by an inexact form of the algorithm. Our results extend the results of [3, 25] to Hadamard manifolds as well as the main result of [11] with more general assumptions on the control sequence. We also give some application to optimization.

引用

页码：419 / 433

页数：15

共 29 条

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