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Commun. Korean Math. Soc. 2011; 26(1): 51-65
Printed March 1, 2011
https://doi.org/10.4134/CKMS.2011.26.1.51
Copyright © The Korean Mathematical Society.
Iterative methods for generalized equilibrium problems and nonexpansive mappings
Sun Young Cho, Shin Min Kang, and Xiaolong Qin
Gyeongsang National University, Gyeongsang National University, Hangzhou Normal University
In this paper, a composite iterative process is introduced for a generalized equilibrium problem and a pair of nonexpansive mappings. It is proved that the sequence generated in the purposed composite iterative process converges strongly to a common element of the solution set of a generalized equilibrium problem and of the common fixed point of a pair of nonexpansive mappings.
Keywords: equilibrium problem, nonexpansive mapping, inverse-strongly monotone mapping, contractive mapping
MSC numbers: 47H05, 47H09, 47J05, 47J25
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