Algorithms for the Split Variational Inequality Problem View Full Text


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Article Info

DATE

2012-02

AUTHORS

Yair Censor, Aviv Gibali, Simeon Reich

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. More... »

PAGES

301-323

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s11075-011-9490-5

DOI

http://dx.doi.org/10.1007/s11075-011-9490-5

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1052842978


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