ON CONVERGENCE OF THE PROXIMAL POINT ALGORITHM IN BANACH SPACES

被引：9

作者：

Matsushita, Shin-ya ^{[1
]}

Xu, Li ^{[1
]}

机构：

[1] Akita Prefectural Univ, Dept Elect & Informat Syst, Fac Syst Sci & Technol, Yurihonjo City, Akita 0150055, Japan

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2011年 / 139卷 / 11期

关键词：

Proximal point algorithm; finite termination of algorithm; maximal monotone operator; paramonotone operator; Banach space; weak sharp minima; WEAK SHARP MINIMA; MONOTONE-OPERATORS; MAXIMAL MONOTONICITY; PROOF;

D O I：

10.1090/S0002-9939-2011-10883-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we give a sufficient condition which guarantees that the sequence generated by the proximal point algorithm terminates after a finite number of iterations.

引用

页码：4087 / 4095

页数：9

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