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Zbl 1123.49009
Yao, Yonghong; Noor, Muhammad Aslam
On modified hybrid steepest-descent methods for general variational inequalities. (English)
[J] J. Math. Anal. Appl. 334, No. 2, 1276-1289 (2007). ISSN 0022-247X

A general variational inequalities (GVI) and modified hybrid steepest descent methods for their solving are considered in the paper. Especially an iterative algorithm with variable parameters for their solving is proposed and analyzed. It is shown that the sequence obtained from this algorithm converges in norm to the solution of GVI under some formulated conditions. Applications to constrained generalized pseudo-inverse is included. The results obtained in the paper also hold for variational inequalities, quasi-variational inequalities and complementary problems since they are special cases of general variational inequalities.
[Ryszard Gessing (Gliwice)]

MSC 2000:: *49J40 Variational methods including variational inequalities
49M30 Methods of successive approximation, not based on necessary cond.

Keywords: variational inequalities; nonexpensive mappings

Cited in: Zbl 1129.49022

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