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Zbl 1203.47086
Yao, Yonghong; Liou, Yeong-Cheng; Wu, Yuh-Jenn
(Yao, Yong-hong)
An extragradient method for mixed equilibrium problems and fixed point problems. (English)
[J] Fixed Point Theory Appl. 2009, Article ID 632819, 15 p. (2009). ISSN 1687-1812/e

The authors investigate the problem of approximating a common element of the set of fixed points of a demicontractive mapping as well as the set of solutions of a mixed equilibrium problem. An extragradient method for solving the mixed equilibrium and fixed point problems are employed and some strong convergence results are established for the iterative algorithm involved.
[Memudu Olaposi Olatinwo (Ile-Ife)]

MSC 2000:: *47J25 Methods for solving nonlinear operator equations (general)
47H10 Fixed point theorems for nonlinear operators on topol.linear spaces
49J20 Optimal control problems with PDE (existence)

Keywords: common fixed point; demicontractive mapping; strong convergence

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