THE GENERALIZED FORWARD-BACKWARD SPLITTING METHOD FOR THE MINIMIZATION OF THE SUM OF TWO FUNCTIONS IN BANACH SPACES

被引：7

作者：

Guan, Wei-Bo ^{[1
]}

Song, Wen

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2015年 / 36卷 / 07期

关键词：

Banach space; Generalized forward-backward splitting method; Generalized proximity operator; P-duality mapping; 49M27; 46M20; 65J22; UNIFORMLY CONVEX; SIGNAL RECOVERY; FEASIBILITY;

D O I：

10.1080/01630563.2015.1037591

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose a convergence analysis of the generalized forward-backward splitting iterative procedure for the minimization of the sum of two functions in Banach spaces. The generalized forward-backward splitting method is applied to the minimization of functionals of the Tikhonov type with semi-norm regularization. We also investigate the perturbed forward-backward splitting method and prove its stability.

引用

页码：867 / 886

页数：20

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