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An extragradient-like approximation method for variational inequality problems and fixed point problems
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DOI：10.1016/j.amc.2007.01.021.png)
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The purpose of this paper is to investigate the problem of finding a common element of the set of fixed points of a non-expansive mapping and the set of solutions of a variational inequality problem for a monotone, Lipschitz continuous mapping. We introduce an extragradient-like approximation method which is based on so-called extragradient method and viscosity approximation method. We establish a strong convergence theorem for two iterative sequences generated by this method. (C) 2007 Elsevier Inc. All rights reserved.
Keyword:
extragradient-like approximation method
variational inequality
fixed point
monotone mapping
nonexpansive mapping
strong convergence
期刊
IF:
3.4
论文数:
2.3W
被引数:
3.3W
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