On the Mann-type iteration and the convex feasibility problem

被引：56

作者：

Maruster, Stefan ^{[1
]}

Popirlan, Cristina ^{[2
]}

机构：

[1] W Univ Timisoara, Inst eAustria Timisoara, Timisoara, Romania

[2] Univ Craiova, Craiova, Romania

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2008年 / 212卷 / 02期

关键词：

Mann-type iteration; convex feasibility problem; weak and strong convergence; projection methods;

D O I：

10.1016/j.cam.2006.12.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The weak and strong convergence of a sequence generated by a Mann-type iteration are investigated in the frame of a real Hilbert space. Some applications to the projection method for the convex feasibility problem are given. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：390 / 396

页数：7

共 25 条

[1] THE RELAXATION METHOD FOR LINEAR INEQUALITIES [J].

AGMON, S .

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1954, 6 (03) :382-392

[2] A decomposition method for variational inequalities of the second kind with strongly inverse-monotone operators [J].

Badriev, IB ;

Zadvornov, OA .

DIFFERENTIAL EQUATIONS, 2003, 39 (07) :936-944

[3] Convergence analysis of iterative methods for some variational inequalities with pseudomonotone operators [J].

Badriev, IB ;

Zadvornov, OA ;

Saddek, AM .

DIFFERENTIAL EQUATIONS, 2001, 37 (07) :934-942

[4]

Badriev IB., 2003, Comput Methods Appl Math, V2, P223, DOI [10.2478/cmam-2003-0015, DOI 10.2478/CMAM-2003-0015]

[5] A weak-to-strong convergence principle for Fejer-monotone methods in Hilbert spaces [J].

Bauschke, HH ;

Combettes, PL .

MATHEMATICS OF OPERATIONS RESEARCH, 2001, 26 (02) :248-264

[6] Projection algorithms for solving convex feasibility problems [J].

Bauschke, HH ;

Borwein, JM .

SIAM REVIEW, 1996, 38 (03) :367-426

[7]

BAUSCHKE HH, 2002, METHODS REFLECTION P

[8]

Bregman L. M., 1965, SOV MATH DOKL, V6, P688

[9]

Chidume C.E., 1994, Dynam. Systems Appl, V3, P349

[10]

Chidume C.E., 1984, J. Nigerian Math. Soc, V3, P57

← 1 2 3 →