| 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].数学研究及应用,2010,30(6):1099~1107 |
| 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 |
| Strong Convergence by the Shrinking Projection Method for a Generalized Equilibrium Problems and Hemi-Relatively Nonexpansive Mappings |
| 投稿时间：2008-12-30 修订日期：2009-05-18 |
| DOI：10.3770/j.issn:1000-341X.2010.06.020 |
| 中文关键词: Hemi-相对相对非扩张映象 广义平衡问题 $\alpha$-逆强单调映象. |
| 英文关键词:hemi-relatively nonexpansive mapping generalized equilibrium problem $\alpha$-inverse-strongly monotone mapping. |
| 基金项目:四川省教育厅自然科学基金(Grant No.08ZB002). |
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| 中文摘要: |
| 受Takahashi-Zembayashi [1]一文启发, 利用收缩投影法作者在Banach空间获得了寻找广义平衡问题的解集与Hemi-相对相对非扩张映象不动点集公共元的算法的一个强收敛性结论, 由此推广了最近一些文献的结果([1],[2]). |
| 英文摘要: |
| 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. |
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