STRONG CONVERGENCE THEOREMS OF MODIFIED MANN ITERATIVE PROCESS FOR NONEXPANSIVE MAPPINGS IN HILBERT SPACES

被引：0

作者：

Haifang Liu ^{[1
]}

Rudong Chen ^{[1
]}

机构：

[1] Tianjin Polytech Univ, Dept Math, Tianjin 300160, Peoples R China

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2011年 / 5卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Nonexpansive mapping; strong positive operator; variational inequality; iterative algorithm; STRICT PSEUDO-CONTRACTIONS; FIXED-POINT SET; BANACH-SPACES; SEMIGROUPS; WEAK; APPROXIMATION; OPTIMIZATION; FAMILY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this article is to modify normal Mann's iterative process to have strong convergence for nonexpansive mappings in the formework of Hilbert spaces. We prove the strong convergence of the proposed iterative algorithm to the fixed point of nonexpansive mappings which is the unique solution of a variational inequality, which is also the optimality condition for a minimization problem.

引用

页码：141 / 153

页数：13

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