FURTHER CONVERGENCE ANALYSIS OF ITERATIVE METHODS FOR GENERALIZED SPLIT FEASIBILITY PROBLEMS IN HILBERT SPACES

被引：0

作者：

Li, Lulu ^{[1
]}

Xu, Hong-Kun ^{[1
]}

机构：

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

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2021年 / 22卷 / 12期

关键词：

Split feasibility problem; fixed point; nonexpansive mapping; maximal monotone operator; iterative method; VISCOSITY APPROXIMATION METHODS; FIXED-POINT THEOREMS; NONEXPANSIVE-MAPPINGS; NONLINEAR MAPPINGS; ALGORITHMS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We further study convergence analysis of the iterative algorithms proposed in [33] for the generalized split feasibility problem. Weak convergence results under more relaxed conditions are obtained. Regularization is introduced to obtain strong convergence of the viscosity approximation method.

引用

页码：2575 / 2589

页数：15

共 40 条

[1] Viscosity solutions of minimization problems [J].

Attouch, H .

SIAM JOURNAL ON OPTIMIZATION, 1996, 6 (03) :769-806

[2]

Barbu, 1976, NONLINEAR SEMIGROUPS

[3]

Blum E., 1994, Math. student, V63, P123

[4] A unified treatment of some iterative algorithms in signal processing and image reconstruction [J].

Byrne, C .

INVERSE PROBLEMS, 2004, 20 (01) :103-120

[5]

Byrne C, 2012, J NONLINEAR CONVEX A, V13, P759

[6]

Censor Y., 1994, Numer. Algorithms, V8, P221, DOI DOI 10.1007/BF02142692

[7]

Censor Y, 2009, J CONVEX ANAL, V16, P587

[8]

Combettes PL, 2005, J NONLINEAR CONVEX A, V6, P117

[9] Signal recovery by proximal forward-backward splitting [J].

Combettes, PL ;

Wajs, VR .

MULTISCALE MODELING & SIMULATION, 2005, 4 (04) :1168-1200

[10]

Cui HH, 2013, J NONLINEAR CONVEX A, V14, P245

← 1 2 3 4 →