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Start Over Author "Yen-Cherng Lin" Journal applied mathematics & mechanics
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1. Three-step relaxed hybrid steepest-descent methods for variational inequalities.

Author

Xie-ping Ding, Yen-cherng Lin, and Jen-chih Yao

Subjects
*VARIATIONAL inequalities (Mathematics), *MONOTONE operators, *SET theory, *HILBERT space, *ALGORITHMS, *STOCHASTIC convergence, *NONEXPANSIVE mappings
Abstract

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

Published
2007
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