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Journal of Inequalities and Applications | Vol.2008, Issue.1 | 2017-05-30 | Pages

Finite-Step Relaxed Hybrid Steepest-Descent Methods for Variational Inequalities

Lin Yen-Cherng

Abstract

The classical variational inequality problem with a Lipschitzian and strongly monotone operator on a nonempty closed convex subset in a real Hilbert space was studied. A new finite-step relaxed hybrid steepest-descent method for this class of variational inequalities was introduced. Strong convergence of this method was established under suitable assumptions imposed on the algorithm parameters.

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Finite-Step Relaxed Hybrid Steepest-Descent Methods for Variational Inequalities

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Keywords

real hilbert variational inequality problem lipschitzian and strongly monotone operator finitestep relaxed hybrid steepestdescent method

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Lin Yen-Cherng,.Finite-Step Relaxed Hybrid Steepest-Descent Methods for Variational Inequalities. 2008 (1),.

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