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Projections Onto Super-Half-Spaces for Monotone Variational Inequality Problems in Finite-Dimensional Spaces

Yair Censor(yair***at***math.haifa.ac.il)
Aviv Gibali(aviv_gibali***at***yahoo.com)

Abstract: The variational inequality problem (VIP) is considered here. We present a general algorithmic scheme which employs projections onto hyperplanes that separate balls from the feasible set of the VIP instead of projections onto the feasible set itself. Our algorithmic scheme includes the classical projection method and Fukushima's subgradient projection method as special cases.

Keywords: Variational inequality problem, projections onto hyperplanes, subgradient projections.

Category 1: Complementarity and Variational Inequalities

Citation: Technical report: July 2, 2008. Revised: August 19, 2008. Journal of Nonlinear and Convex Analysis, accepted for publication.

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Entry Submitted: 08/25/2008
Entry Accepted: 08/25/2008
Entry Last Modified: 08/25/2008

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