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Zbl 1192.58010
Qin, Xiaolong; Chang, Shih-Sen; Cho, Yeol Je
Iterative methods for generalized equilibrium problems and fixed point problems with applications. (English)
[J] Nonlinear Anal., Real World Appl. 11, No. 4, 2963-2972 (2010). ISSN 1468-1218

Summary: We consider an iterative method for finding a common element of the set of a generalized equilibrium problem, of the set of solutions to a system of variational inequalities and of the set of fixed points of a strict pseudo-contraction. Strong convergence theorems are established in the framework of Hilbert spaces. The results presented in this paper improve and extend the corresponding results announced by many others.

MSC 2000:: *58E35 Variational inequalities (global problems)

Keywords: nonexpansive mapping; inverse-strongly monotone mapping; equilibrium problem; variational inequality; strict pseudo-contraction

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Zentralblatt MATH Berlin [Germany]