Applied Mathematics and Mechanics (English Edition) ›› 2007, Vol. 28 ›› Issue (8): 1029-1036 .doi: https://doi.org/10.1007/s10483-007-0805-x
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丁协平, 林炎诚, 姚任文
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DING Xie-ping, LIN Yen-cherng, YAO Jen-chih
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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.
Key words: Hilbert space, variational inequalities, relaxed hybrid steepest-descent method, strong convergence, nonexpansive mapping
中图分类号:
O177.91
49J30
47H09
47H10
丁协平;林炎诚;姚任文. Three-step relaxed hybrid steepest-descent methods for variational inequalities[J]. Applied Mathematics and Mechanics (English Edition), 2007, 28(8): 1029-1036 .
DING Xie-ping;LIN Yen-cherng;YAO Jen-chih. Three-step relaxed hybrid steepest-descent methods for variational inequalities[J]. Applied Mathematics and Mechanics (English Edition), 2007, 28(8): 1029-1036 .
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链接本文: https://www.amm.shu.edu.cn/CN/10.1007/s10483-007-0805-x
https://www.amm.shu.edu.cn/CN/Y2007/V28/I8/1029