Algorithms for the Split Variational Inequality Problem

被引：0
|
作者：
Yair Censor
Aviv Gibali
Simeon Reich
机构：
[1] University of Haifa,Department of Mathematics
[2] The Technion - Israel Institute of Technology,Department of Mathematics
来源：
Numerical Algorithms | 2012年 / 59卷
关键词：
Constrained variational inequality problem; Hilbert space; Inverse strongly monotone operator; Iterative method; Metric projection; Monotone operator; Product space; Split inverse problem; Split variational inequality problem; Variational inequality problem;
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学科分类号：
摘要：
We propose a prototypical Split Inverse Problem (SIP) and a new variational problem, called the Split Variational Inequality Problem (SVIP), which is a SIP. It entails finding a solution of one inverse problem (e.g., a Variational Inequality Problem (VIP)), the image of which under a given bounded linear transformation is a solution of another inverse problem such as a VIP. We construct iterative algorithms that solve such problems, under reasonable conditions, in Hilbert space and then discuss special cases, some of which are new even in Euclidean space.
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页码：301 / 323
页数：22
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