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http://dx.doi.org/10.4134/JKMS.2012.49.1.187

STRONG CONVERGENCE OF AN EXTENDED EXTRAGRADIENT METHOD FOR EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS  

Kim, Jong-Kyu (Department of Mathematics Kyungnam University)
Anh, Pham Ngoc (Posts and Telecommunications Institute of Technology)
Nam, Young-Man (Department of Mathematics Kyungnam University)
Publication Information
Journal of the Korean Mathematical Society / v.49, no.1, 2012 , pp. 187-200 More about this Journal
Abstract
In this paper, we introduced a new extended extragradient iteration algorithm for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of equilibrium problems for a monotone and Lipschitz-type continuous mapping. And we show that the iterative sequences generated by this algorithm converge strongly to the common element in a real Hilbert space.
Keywords
equilibrium problems; monotone mapping; Lipschitz-type continuous; strong convergence; extragradient algorithm; nonexpansive mapping;
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Times Cited By Web Of Science : 6  (Related Records In Web of Science)
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