Regularization Extragradient Method for Lipschitz Continuous Mappings and Inverse Strongly-Monotone Mappings in Hilbert Spaces

被引：2
|
作者：
Nguyen Buong [1 ]
机构：
[1] Vietnamese Acad Sci & Technol, Inst Informat Technol, Hanoi, Vietnam
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2008年 / 48卷 / 11期
关键词：
Tikhonov regularization; hemicontinuous; lower semicontinuous convex functional; fixed points; extragradient method;
D O I：
10.1134/S096554250811002X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to present a regularization variant of the extragradient method for finding a common element of the solution sets for a variational inequality problem involving a (k) over tilde -Lipschitz continuous monotone mapping A and for a finite family of lambda(i)- inverse strongly-monotone operators {A(i)}(i=1)(N) from a closed convex subset K into the Hilbert space H.
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页码：1927 / 1935
页数：9
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