Convergence analysis of an iterative algorithm for monotone operators

被引：118

作者：

Cho, Sun Young ^{[1
]}

Li, Wenling ^{[2
]}

Kang, Shin Min ^{[1
,3
]}

机构：

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

[2] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Peoples R China

[3] Gyeongsang Natl Univ, RINS, Jinju 660701, South Korea

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年

关键词：

inverse-strongly monotone mapping; maximal monotone operator; resolvent; strictly pseudocontractive mapping; fixed point; FIXED-POINT PROBLEMS; HYBRID PROJECTION METHODS; EQUILIBRIUM PROBLEMS; NONEXPANSIVE-MAPPINGS; WEAK-CONVERGENCE; COMMON SOLUTIONS; THEOREMS; APPROXIMATION; SEQUENCE;

D O I：

10.1186/1029-242X-2013-199

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, an iterative algorithm is proposed to study some nonlinear operators which are inverse-strongly monotone, maximal monotone, and strictly pseudocontractive. Strong convergence of the proposed iterative algorithm is obtained in the framework of Hilbert spaces.

引用

页数：14

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