H-monotone operator and resolvent operator technique for variational inclusions

被引：207

作者：

Fang, YP ^{[1
]}

Huang, NJ ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2003年 / 145卷 / 2-3期

基金：

中国国家自然科学基金;

关键词：

H-monotone operator; resolvent operator technique; variational inclusion; iterative algorithm;

D O I：

10.1016/S0096-3003(03)00275-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a new class of monotone operators-H-monotone operators. The resolvent operator associated with an H-monotone operator is defined and its Lipschitz continuity is presented. We also introduce and study a new class of variational inclusions involving H-monotone operators and construct a new algorithm for solving this class of variational inclusions by using the resolvent operator technique. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：795 / 803

页数：9

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