| Banach空间中关于平衡问题与半相对非扩张映象的强收敛定理 |
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| 引用本文： | 陈延礼,吕春兰.Banach空间中关于平衡问题与半相对非扩张映象的强收敛定理[J].应用泛函分析学报,2010,12(4):363-369. |
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| 作者姓名： | 陈延礼 吕春兰 |
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| 作者单位： | [1]宜宾学院数学系,宜宾644007 [2]西南交通大学数学系,成都610031 |
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| 摘 要： | 在Banach空间框架下,将半相对非扩张映象引入到平衡问题中,利用收缩投影迭代来近似平衡问题的解集与半相对非扩张映象的不动点集的公共点,并在适当的条件下证明了该迭代序列强收敛于某个公共点.所得的结果推广和改进了已有的相关结果.
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| 关 键 词： | 半相对非扩张映象 平衡问题 收缩投影 |
Strong Convergence Theorem for a Equilibrium Problem and a Hemi-relatively Nonexpansive Mapping in Banach Space |
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| CHEN Yanli,LV Chunlan.Strong Convergence Theorem for a Equilibrium Problem and a Hemi-relatively Nonexpansive Mapping in Banach Space[J].Acta Analysis Functionalis Applicata,2010,12(4):363-369. |
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| Authors: | CHEN Yanli LV Chunlan |
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| Institution: | 1. Department of Mathematic, Yibin University, Yinbin 644007, China 2. Department of Mathematic, Southwest Jiaotong University, Chengdu 610031, China) |
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| Abstract: | We prove a strong convergence theorem for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a Hemi-relatively nonexpansive mappings in Banach space by shrinking projection method. The presented results improve and extend some recent results. |
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| Keywords: | hemi-relatively nonexpansive mapping equilibrium problem shrinking projection |
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