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

Yair Censor, Aviv Gibali

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)461-475
Number of pages15
JournalJournal of Nonlinear and Convex Analysis
Volume9
Issue number3
StatePublished - 1 Dec 2008

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