Iterative methods for generalized equilibrium problems and nonexpansive mappings
Commun. Korean Math. Soc. 2011 Vol. 26, No. 1, 51-65
https://doi.org/10.4134/CKMS.2011.26.1.51
Published online March 1, 2011
Sun Young Cho, Shin Min Kang, and Xiaolong Qin
Gyeongsang National University, Gyeongsang National University, Hangzhou Normal University
Abstract : 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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