A Strong Convergence Algorithm for the Two-Operator Split Common Fixed Point Problem in Hilbert Spaces

被引：3

作者：

Hong, Chung-Chien ^{[1
]}

Huang, Young-Ye ^{[1
,2
]}

机构：

[1] Natl Pingtung Univ Sci & Technol, Dept Ind Management, Pingtung 91201, Taiwan

[2] Southern Taiwan Univ Sci & Technol, Dept Accounting Informat, Tainan 71005, Taiwan

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

关键词：

ITERATIVE ALGORITHMS; FEASIBILITY PROBLEM; MONOTONE-OPERATORS;

D O I：

10.1155/2014/350479

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The two-operator split common fixed point problem(two-operator SCFP) with firmly nonexpansive mappings is investigated in this paper. This problem covers the problems of split feasibility, convex feasibility, and equilibrium and can especially be used to model significant image recovery problems such as the intensity-modulated radiation therapy, computed tomography, and the sensor network. An iterative scheme is presented to approximate the minimum norm solution of the two-operator SCFP problem. The performance of the presented algorithm is compared with that of the last algorithm for the two-operator SCFP and the advantage of the presented algorithm is shown through the numerical result.

引用

页数：8

共 30 条

[1] Inexact Halpern-type proximal point algorithm [J].

Boikanyo, O. A. ;

Morosanu, G. .

JOURNAL OF GLOBAL OPTIMIZATION, 2011, 51 (01) :11-26

[2] Four parameter proximal point algorithms [J].

Boikanyo, O. A. ;

Morosanu, G. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (02) :544-555

[3] A proximal point algorithm converging strongly for general errors [J].

Boikanyo, O. A. ;

Morosanu, G. .

OPTIMIZATION LETTERS, 2010, 4 (04) :635-641

[4] Iterative oblique projection onto convex sets and the split feasibility problem [J].

Byrne, C .

INVERSE PROBLEMS, 2002, 18 (02) :441-453

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

Byrne, C .

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

[6]

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

[7]

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

[8] Damped projection method for split common fixed point problems [J].

Cui, Huanhuan ;

Su, Menglong ;

Wang, Fenghui .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,

[9]

Goebel K., 1990, Topics in Metric Fixed Point Theory, Cambridge Studies in Advanced Mathematics, V28

[10] FIXED POINTS OF NONEXPANDING MAPS [J].

HALPERN, B .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1967, 73 (06) :957-&

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