Finite termination of the proximal point algorithm in Banach spaces

被引：5
|
作者：
Matsushita, Shin-ya [1 ]
Xu, Li [1 ]
机构：
[1] Akita Prefectural Univ, Fac Syst Sci & Technol, Dept Elect & Informat Syst, Yurihonjo City, Akita 0150055, Japan
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 387卷 / 02期
关键词：
Weak sharp minima; Proximal point algorithm; Finite termination; Banach space; Metric projection; MONOTONE-OPERATORS; STRONG-CONVERGENCE; WEAK;
D O I：
10.1016/j.jmaa.2011.09.032
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we show that the convex optimization problem can be solved by the proximal point algorithm in a finite number of steps under the assumption that the solution set is a set of weak sharp minima. (C) 2011 Elsevier Inc. All rights reserved.
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页码：765 / 769
页数：5
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