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Some new extragradient iterative methods for variational inequalities

✍ Scribed by Abdellah Bnouhachem; Muhammad Aslam Noor; Zhang Hao

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 490 KB
Volume: 70
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2008.02.014

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✦ Synopsis

In this paper, 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. Results proved in this paper may be viewed as improvement and refinement of the previously known results.

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