Variational inclusions with a general H-monotone operator in Banach spaces

被引：68

作者：

Xia, Fu-Quan ^{[1
]}

Huang, Nan-Jing ^{[1
]}

机构：

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

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2007年 / 54卷 / 01期

基金：

中国国家自然科学基金;

关键词：

general H-monotone; proximal mapping; iterative algorithm; uniformly smooth Banach space;

D O I：

10.1016/j.camwa.2006.10.028

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 operator-general H-monotone operators in Banach space. We define a proximal mapping associated with the general H-monotone operator and show its Lipschitz continuity. We also consider a new class of variational inclusions involving these general H-monotone operators and constructed a new iterative algorithm for solving the variational inclusion in Banach spaces. Under some suitable conditions, we prove the convergence of the iterative sequence generated by the algorithm. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：24 / 30

页数：7

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