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收缩投影法与涉及Hemi-相对相对非扩张映象的广义平衡问题的强收敛性
引用本文:饶若峰,黄加琳.收缩投影法与涉及Hemi-相对相对非扩张映象的广义平衡问题的强收敛性[J].数学研究与评论,2010,30(6):1099-1107.
作者姓名:饶若峰  黄加琳
作者单位:宜宾学院数学系, 四川 宜宾 644007;宜宾学院数学系, 四川 宜宾 644007
基金项目:四川省教育厅自然科学基金(Grant No.08ZB002).
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.

关 键 词:hemi-relatively  nonexpansive  mapping  generalized  equilibrium  problem  α-inversestrongly  monotone  mapping.
收稿时间:2008/12/30 0:00:00
修稿时间:2009/5/18 0:00:00

Strong Convergence by the Shrinking Projection Method for a Generalized Equilibrium Problems and Hemi-Relatively Nonexpansive Mappings
Ruo Feng RAO and Jia Lin HUANG.Strong Convergence by the Shrinking Projection Method for a Generalized Equilibrium Problems and Hemi-Relatively Nonexpansive Mappings[J].Journal of Mathematical Research and Exposition,2010,30(6):1099-1107.
Authors:Ruo Feng RAO and Jia Lin HUANG
Institution:Department of Mathematics,Yibin University,Sichuan 644007,P.R.China
Abstract: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.
Keywords:hemi-relatively nonexpansive mapping  generalized equilibrium problem  $\alpha$-inverse-strongly monotone mapping  
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