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Zbl 1171.47050
Bnouhachem, Abdellah; Noor, Muhammad Aslam; Hao, Zhang
Some new extragradient iterative methods for variational inequalities.
(English)
[J] Nonlinear Anal., Theory Methods Appl. 70, No. 3, A, 1321-1329 (2009). ISSN 0362-546X

From the summary: We suggest and analyze some new extragradient iterative methods for finding the common element of the fixed points of a nonexpansive mapping and the solution set of the variational inequality for an inverse strongly monotone mapping in a Hilbert space. We also consider the strong convergence of the proposed method under some mild conditions. Several special cases are also discussed.
MSC 2000:
*47J25 Methods for solving nonlinear operator equations (general)
47H09 Mappings defined by "shrinking" properties
47J20 Inequalities involving nonlinear operators
49J40 Variational methods including variational inequalities

Keywords: variational inequalities; extragradient method; fixed point; $\alpha$-inverse strongly monotone mapping; strong convergence

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