Convergence of a proximal point algorithm for maximal monotone operators in Hilbert spaces

被引：2

作者：

Wei, Zhiqiang ^{[2
]}

Shi, Guohong ^{[1
]}

机构：

[1] Hebei Univ Engn, Coll Sci, Handan 056038, Peoples R China

[2] N China Univ Water Resources & Elect Power, Sch Math & Informat Sci, Zhengzhou 450011, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2012年

关键词：

fixed point; nonexpansive mapping; maximal monotone mapping; zero; VARIATIONAL-INEQUALITIES; NONEXPANSIVE-MAPPINGS; EQUILIBRIUM PROBLEMS; THEOREMS; APPROXIMATION;

D O I：

10.1186/1029-242X-2012-137

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we consider the proximal point algorithm for the problem of approximating zeros of maximal monotone mappings. Strong convergence theorems for zero points of maximal monotone mappings are established in the framework of Hilbert spaces. 2000 AMS Subject Classification: 47H05; 47H09; 47J25.

引用

页数：10

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