H(.,.)-accretive operator with an application for solving variational inclusions in Banach spaces

被引：65

作者：

Zou, Yun-Zhi ^{[1
]}

Huang, Nan-Jing ^{[1
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 204卷 / 02期

基金：

中国国家自然科学基金; 高等学校博士学科点专项科研基金;

关键词：

H(; )-accretive operator; Resolvent operator; Variational inclusion; Iterative algorithm; Convergence;

D O I：

10.1016/j.amc.2008.07.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a new H(., .)-accretive operator is introduced in Banach spaces and the Lipschitzian continuity of the resolvent operator for the H(., .)-accretive operator is showed. By using the technique of resolvent operator, an iterative algorithm for solving a class of variational inclusions is constructed. Under some suitable conditions, the existence of the solution for the variational inclusions and the convergence of iterative sequence generated by the algorithm is proved. Some illustrative examples are also given. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：809 / 816

页数：8

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