A new system of variational inclusions with (H,η)-monotone operators in hilbert spaces

被引：157

作者：

Fang, YP

Huang, NJ

Thompson, HB ^{[1
]}

机构：

[1] Univ Queensland, Dept Math, Brisbane, Qld 4072, Australia

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

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2005年 / 49卷 / 2-3期

基金：

中国国家自然科学基金;

关键词：

(H; eta)-monotone operator; resolvent operator technique; system of variational inclusion; iterative algorithm;

D O I：

10.1016/j.camwa.2004.04.037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce and study a new system of variational inclusions involving (H, eta)-monotone operators in Hilbert space. Using the resolvent operator associated with (H, eta)monotone operators, we prove the existence and uniqueness of solutions for this new system of variational inclusions. We also construct a new algorithm for approximating the solution of this system and discuss the convergence of the sequence of iterates generated by the algorithm. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：365 / 374

页数：10

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