ON HYBRID PROXIMAL-TYPE ALGORITHMS IN BANACH SPACES

被引：7

作者：

Ceng, L. C. ^{[2
,3
]}

Petrusel, A. ^{[1
]}

Wu, S. Y. ^{[4
]}

机构：

[1] Univ Babes Bolyai, Dept Appl Math, Cluj Napoca 400084, Romania

[2] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

[3] Sci Comp Key Lab Shanghai Univ, Shanghai 200234, Peoples R China

[4] Natl Cheng Kung Univ, Dept Math, Tainan 701, Taiwan

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2008年 / 12卷 / 08期

基金：

美国国家科学基金会;

关键词：

Hybrid proximal-type algorithm; Maximal monotone operator; Relatively nonexpansive mapping; Banach space; Strong convergence; Generalized projection;

D O I：

10.11650/twjm/1500405133

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we propose new hybrid proximal-type algorithms for a maximal monotone operator in a Banach spaces and establish some strong convergence results. An application to the problem of finding a minimizer of a convex function is given.

引用

页码：2009 / 2029

页数：21

共 26 条

[1]

Alber Y., 1994, Panamer. Math. J., V4, P39

[2]

Alber Y., 2001, Analysis (Munich), V21, P17

[3]

Alber YI, 1996, THEORY APPL NONLINEA, V178, P15

[4] Weak convergence of orbits of nonlinear operators in reflexive Banach [J].

Butnariu, D ;

Reich, S ;

Zaslavski, AJ .

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2003, 24 (5-6) :489-508

[5]

Butnariu D, 2001, J APPL ANAL, V7, P151, DOI DOI 10.1515/JAA.2001.151

[6] Approximate proximal algorithms for generalized variational inequalities with pseudomonotone multifunctions [J].

Ceng, L. C. ;

Yao, J. C. .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 213 (02) :423-438

[7] Approximate proximal algorithms for generalized variational inequalities with paramonotonicity and pseudomonotonicity [J].

Ceng, L. C. ;

Lai, T. C. ;

Yao, J. C. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 55 (06) :1262-1269

[8] NEW ACCURACY CRITERIA FOR MODIFIED APPROXIMATE PROXIMAL POINT ALGORITHMS IN HILBERT SPACES [J].

Ceng, Lu-Chuan ;

Wu, Soon-Yi ;

Yao, Jen-Chih .

TAIWANESE JOURNAL OF MATHEMATICS, 2008, 12 (07) :1691-1705

[9]

Ceng LC, 2008, TAIWAN J MATH, V12, P753

[10]

Censor Y., 1996, Optimization, V37, P323, DOI 10.1080/02331939608844225

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