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Zbl 1187.47050
Kang, Shin Min; Cho, Sun Young; Liu, Zeqing
(Liu, Ze-qing)
Convergence of iterative sequences for generalized equilibrium problems involving inverse-strongly monotone mappings. (English)
[J] J. Inequal. Appl. 2010, Article ID 827082, 16 p. (2010). ISSN 1029-242X/e

Summary: The purpose of this paper is to consider the weak convergence of an iterative sequence for finding a common element in the set of solutions of generalized equilibrium problems, in the set of solutions of classical variational inequalities, and in the set of fixed points of nonexpansive mappings.

MSC 2000:: *47J25 Methods for solving nonlinear operator equations (general)
49J40 Variational methods including variational inequalities

Keywords: weak convergence; iterative sequence; generalized equilibrium problems; variational inequalities; fixed points of nonexpansive mappings

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