Composite iterative schemes for maximal monotone operators in reflexive Banach spaces

被引：19

作者：

Cholamjiak, Prasit ^{[3
]}

Cho, Yeol Je ^{[1
,2
]}

Suantai, Suthep ^{[4
]}

机构：

[1] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea

[2] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea

[3] Univ Phayao, Sch Sci, Phayao 56000, Thailand

[4] Chiang Mai Univ, Fac Sci, Dept Math, Chiang Mai 50200, Thailand

来源：

FIXED POINT THEORY AND APPLICATIONS | 2011年

关键词：

Maximal monotone operator; Shrinking projection method; Proximal point algorithm; Bregman projection; Totally convex function; Legendre function; STRONG-CONVERGENCE THEOREMS; PROXIMAL POINT ALGORITHM; NONEXPANSIVE-MAPPINGS;

D O I：

10.1186/1687-1812-2011-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we introduce composite iterative schemes for finding a zero point of a finite family of maximal monotone operators in a reflexive Banach space. Then, we prove strong convergence theorems by using a shrinking projection method. Moreover, we also apply our results to a system of convex minimization problems in reflexive Banach spaces. © 2011 Cholamjiak et al; licensee Springer.

引用

页数：10

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