On the embedding of variational inequalities

被引：5
|
作者：
Rouhani, BD
Khan, AA
机构：
[1] Shahid Beheshti Univ, Sch Math Sci, Inst Studies Nonlinear Anal, Tehran, Iran
[2] Univ Erlangen Nurnberg, Inst Appl Math, D-91058 Erlangen, Germany
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2003年 / 131卷 / 12期
关键词：
variational inequalities; regularization; pseudo-monotone; embedding;
D O I：
10.1090/S0002-9939-03-07000-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This work is devoted to the approximation of variational inequalities with pseudo-monotone operators. A variational inequality, considered in an arbitrary real Banach space, is first embedded into a reflexive Banach space by means of linear continuous mappings. Then a strongly convergent approximation procedure is designed by regularizing the embedded variational inequality. Some special cases have also been discussed.
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页码：3861 / 3871
页数：11
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