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The Split Variational Inequality Problem

Yair Censor(yair***at***math.haifa.ac.il)
Aviv Gibali(aviv_gibali***at***yahoo.com)
Simeon Reich(sreich***at***techunix.technion.ac.il)

Abstract: We propose a new variational problem which we call the Split Variational Inequality Problem (SVIP). It entails finding 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.

Keywords: Split variational inequality problem (SVIP), constrained VIP, product space, split minimization, split zeros.

Category 1: Complementarity and Variational Inequalities

Category 2: Nonlinear Optimization (Constrained Nonlinear Optimization )

Citation: Technical Report, September 20, 2010.

Download: [PDF]

Entry Submitted: 09/20/2010
Entry Accepted: 09/20/2010
Entry Last Modified: 09/20/2010

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