On the generalized monotonicity of variational inequalities

被引：12
|
作者：
Bai, Min-Ru
Zhou, Shu-Zi [1 ]
Ni, Gu-Yan
机构：
[1] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China
[2] Natl Univ Defense Technol, Dept Math, Changsha 410073, Hunan, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2007年 / 53卷 / 06期
基金：
中国国家自然科学基金;
关键词：
variational inequality; relaxed mu pseudomonotone; densely relaxed mu pseudomonotone; relaxed mu quasimonotone; existence result;
D O I：
10.1016/j.camwa.2006.09.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, three new classes of generalized monotone operators are introduced: the relaxed mu pseudomonotone operator, relaxed mu quasimonotone operator and densely relaxed pseudomonotone operator. The relations between these three classes and the relations between them and some other well known classes of generalized monotone operators are discussed in detail. Various existence results for variational inequalities in normed spaces are derived. The results generalize some known results. (c) 2007 Elsevier Ltd. All rights reserved.
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页码：910 / 917
页数：8
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