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Zbl 1203.47087
Yao, Yonghong; Liou, Yeong-Cheng; Yao, Jen-Chih
(Yao, Yong-hong)
A new hybrid iterative algorithm for fixed-point problems, variational inequality problems, and mixed equilibrium problems. (English)
[J] Fixed Point Theory Appl. 2008, Article ID 417089, 15 p. (2008). ISSN 1687-1812/e

Summary: We introduce a new hybrid iterative algorithm for finding a common element of the set of fixed points of an infinite family of nonexpansive mappings, the set of solutions of the variational inequality of a monotone mapping, and the set of solutions of a mixed equilibrium problem. This study proves a strong convergence theorem by the proposed hybrid iterative algorithm which solves fixed-point problems, variational inequality problems, and mixed equilibrium problems.

MSC 2000:: *47J25 Methods for solving nonlinear operator equations (general)
47J20 Inequalities involving nonlinear operators
47N10 Appl. of operator theory in optimization, math. programming, etc.

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