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Strong Convergence by the Shrinking Projection Method for a Generalized Equilibrium Problems and Hemi-Relatively Nonexpansive Mappings 被引量:2

Strong Convergence by the Shrinking Projection Method for a Generalized Equilibrium Problems and Hemi-Relatively Nonexpansive Mappings
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摘要 Motivated by the recent result obtained by Takahashi and Zembayashi in 2008,we prove a strong convergence theorem for finding a common element of the set of solutions of a generalized equilibrium problem and the set of fixed points of a hemi-relatively nonexpansive mapping in a Banach space by using the shrinking projection method.The main results obtained in this paper extend some recent results. Motivated by the recent result obtained by Takahashi and Zembayashi in 2008,we prove a strong convergence theorem for finding a common element of the set of solutions of a generalized equilibrium problem and the set of fixed points of a hemi-relatively nonexpansive mapping in a Banach space by using the shrinking projection method.The main results obtained in this paper extend some recent results.
出处 《Journal of Mathematical Research and Exposition》 CSCD 2010年第6期1099-1107,共9页 数学研究与评论(英文版)
基金 Supported by Sichuan Educational Committee Science Foundation for Youths (Grant No.08ZB002)
关键词 hemi-relatively nonexpansive mapping generalized equilibrium problem α-inversestrongly monotone mapping. hemi-relatively nonexpansive mapping generalized equilibrium problem α-inversestrongly monotone mapping.
作者简介 Corresponding author E-mail address: ruofengrao@163.com
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