Refinements of some convergence results of the gradient-projection algorithm

被引：0

作者：

Xu, Hong-kun ^{[1
]}

机构：

[1] Hangzhou Dianzi Univ, Sch Sci, Hangzhou 310018, Peoples R China

来源：

ANNALS OF MATHEMATICAL SCIENCES AND APPLICATIONS | 2023年 / 8卷 / 02期

关键词：

Gradient-projection; fixed point algorithm; averaged mapping; viscosity approximation method; VISCOSITY APPROXIMATION METHODS; FIXED-POINTS; NONEXPANSIVE-MAPPINGS; WEAK-CONVERGENCE; THEOREMS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note we refine some of the results of [18] on the gradient -projection algorithm in the infinite-dimensional Hilbert space set-ting by weakening the conditions imposed on the choices of the parameters in [18, Theorems 4.2, 4.3 and 5.2]. In addition, we also show that the relaxed gradient-projection algorithm has a sublin-ear rate of convergence.

引用

页码：347 / 363

页数：17

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