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Zbl 1174.49007
Yao, Yonghong; Noor, Muhammad Aslam
On modified hybrid steepest-descent method for variational inequalities. (English)
[J] Carpathian J. Math. 24, No. 1, 139-148 (2008). ISSN 1584-2851; ISSN 1843-4401/e

In this paper, the authors present a modified hybrid steepest-descent method for solving variational inequalities. An iterative algorithm is proposed and analyzed. It is shown that the sequence obtained from this algorithm converges strongly to the unique solution of variational inequality under some mild conditions. An application to constrained pseudoinverse problem is also included.
[Sotiris K. Ntouyas (Ioannina)]

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

Keywords: modified hybrid steepest-descent method; nonexpansive mappings; variational inequality; Hilbert space

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