An Extension of Subgradient Method for Variational Inequality Problems in Hilbert Space

被引：6

作者：

Wang, Xueyong ^{[1
]}

Li, Shengjie ^{[1
]}

Kou, Xipeng ^{[1
]}

机构：

[1] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2013年

基金：

中国国家自然科学基金;

关键词：

NONEXPANSIVE-MAPPINGS; EXTRAGRADIENT METHOD; WEAK-CONVERGENCE; MONOTONE MAPPINGS; THEOREMS; POINTS;

D O I：

10.1155/2013/531912

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An extension of subgradient method for solving variational inequality problems is presented. A new iterative process, which relates to the fixed point of a nonexpansive mapping and the current iterative point, is generated. A weak convergence theorem is obtained for three sequences generated by the iterative process under some mild conditions.

引用

页数：7

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