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2013 New Double Projection Algorithm for Solving Variational Inequalities
Lian Zheng
J. Appl. Math. 2013: 1-8 (2013). DOI: 10.1155/2013/714397

Abstract

We propose a class of new double projection algorithms for solving variational inequality problem, which can be viewed as a framework of the method of Solodov and Svaiter by adopting a class of new hyperplanes. By the separation property of hyperplane, our method is proved to be globally convergent under very mild assumptions. In addition, we propose a modified version of our algorithm that finds a solution of variational inequality which is also a fixed point of a given nonexpansive mapping. If, in addition, a certain local error bound holds, we analyze the convergence rate of the iterative sequence. Numerical experiments prove that our algorithms are efficient.

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Lian Zheng. "New Double Projection Algorithm for Solving Variational Inequalities." J. Appl. Math. 2013 1 - 8, 2013. https://doi.org/10.1155/2013/714397

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1271.49007
MathSciNet: MR3064950
Digital Object Identifier: 10.1155/2013/714397

Rights: Copyright © 2013 Hindawi

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