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arXiv · 1009.3780

Algorithms for the Split Variational Inequality Problem

Yair Censor·Aviv Gibali·Simeon Reich
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Abstract

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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Yair Censor, Aviv Gibali, Simeon Reich. 2011-08-10. Algorithms for the Split Variational Inequality Problem. https://doi.org/10.1007/s11075-011-9490-5

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