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;

D O I：

暂无

中图分类号：

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.

引用

页码：301 / 323

页数：22

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