On a Generalized System for Relaxed Cocoercive Variational Inequalities and Projection Methods

被引：0
作者：
Q. Z. Yang
机构：
[1] Nankai University,School of Mathematics and LPMC
来源：
Journal of Optimization Theory and Applications | 2006年 / 130卷
关键词：
Nonlinear variational inequalities; projection methods; convergence;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Verma introduced a system of nonlinear variational inequalities and proposed projection methods to solve it. This system reduces to a variational inequality problem under certain conditions. So, at least in form, it can be regarded as a extension of a variational inequality problem. In this note, we show that solving this system coincides exactly with solving a variational inequality problem. Therefore, we conclude that it suffices to study the corresponding variational inequalities.
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页码：547 / 549
页数：2
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