DING Xie-ping, LIN Yen-cherng, YAO Jen-chih. Three-Step Relaxed Hybrid Steepest-Descent Methods for Variational Inequalities[J]. Applied Mathematics and Mechanics, 2007, 28(8): 921-928.
Citation: DING Xie-ping, LIN Yen-cherng, YAO Jen-chih. Three-Step Relaxed Hybrid Steepest-Descent Methods for Variational Inequalities[J]. Applied Mathematics and Mechanics, 2007, 28(8): 921-928.

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

  • Received Date: 2006-11-19
  • Rev Recd Date: 2007-06-25
  • Publish Date: 2007-08-15
  • 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 three-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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