| 广义混合平衡问题与无限族Hemi-相对非扩张映象不动点问题公解的强收敛定理 |
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| 引用本文： | 左平,刘敏.广义混合平衡问题与无限族Hemi-相对非扩张映象不动点问题公解的强收敛定理[J].四川师范大学学报(自然科学版),2012(1):57-62. |
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| 作者姓名： | 左平 刘敏 |
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| 作者单位： | 宜宾学院校长办公室;宜宾学院数学学院 |
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| 基金项目： | 四川省青年基金(09ZB102)资助项目 |
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| 摘 要： | 关于广义混合平衡问题与无限族Hemi-相对非扩张映象公共不动点问题的公解,在Banach空间中,给出了一个新的迭代序列,在适当的条件下,用收缩投影的方法,证明了一些强收敛定理.所得的结果是新的,它改进了最近文献的一些主要结果.
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| 关 键 词： | Hemi-相对非扩张映象 广义混合平衡问题 收缩投影方法 |
Strong Convergence Theorem of Common Solutions for Generalized Mixed Equilibrium Problem and Fixed Point Problem of Infinite Family of Hemi-relatively Nonexpansive Mappings |
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| ZUO Ping,LIU Min.Strong Convergence Theorem of Common Solutions for Generalized Mixed Equilibrium Problem and Fixed Point Problem of Infinite Family of Hemi-relatively Nonexpansive Mappings[J].Journal of Sichuan Normal University(Natural Science),2012(1):57-62. |
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| Authors: | ZUO Ping LIU Min |
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| Institution: | 1.President Office,Yibin College,Yibin 644000,Sichuan; 2.Department of Mathematics,Yibin College,Yibin 644000,Sichuan) |
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| Abstract: | In this paper,we prove a strong convergence theorem of common solution for generalized mixed equilibrium problems and fixed points of infinite family of Hemi-relatively nonexpansive mappings in a Banach space by using the shrinking Projection method.Our results obtained in this paper improve and extend the corresponding results announced in recent literature. |
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| Keywords: | Hemi-relatively nonexpansive mapping Generalized mixed equilibrium problem the Shrinking projection method |
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