The Split Variational Inequality Problem

  title={The Split Variational Inequality Problem},
  author={Yair Censor and Aviv Gibali and Simeon Reich},
We propose a new variational problem which we call the Split Variational Inequality Problem (SVIP). It entails …nding a solution of one Variational Inequality Problem (VIP), the image of which under a given bounded linear transformation is a solution of another 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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Highly Influential
3 Excerpts

Opial-type theorems and the common …xed point problem

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Extensions of Korpelevich’s extragradient method for solving the variational inequality problem in Euclidean space

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