Journal of Inequalities and Applications (Jan 2008)

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

  • Lin Yen-Cherng

Journal volume & issue
Vol. 2008, no. 1
p. 598632

Abstract

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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.