| 广义混合均衡与不动点问题公共解的迭代算法 |
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| 引用本文： | 胡洪萍,王琳琳.广义混合均衡与不动点问题公共解的迭代算法[J].西安工业大学学报,2014(7):526-532. |
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| 作者姓名： | 胡洪萍 王琳琳 |
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| 作者单位： | 西安文理学院数学与计算机工程学院,西安710065 |
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| 基金项目： | 西安市科技计划项目（CXY1134WL05） |
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| 摘 要： | 在Hilbert空间中,引入一种新的关于广义混合均衡问题的迭代方法,通过该迭代方法求得广义混合均衡问题的解集与非扩张映像的不动点集的公共解.并且在一定条件下,得到强收敛定理.所得结果改进和推广了这一领域内某些最新结果.
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| 关 键 词： | 广义混合均衡问题 不动点 混合迭代 非扩张映射 Hilbert空间 |
An Iterative Algorithm for the Common Solution to the Problems of Generalized Mixed Equilibrium and Fixed Point |
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| Authors: | HU Hong-ping;WANG Lin-lin |
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| Affiliation: | HU Hong-ping, WA NG Lin-lin (School of Mathematical and Computer Engineering,Xi＇an University of Arts and Science,Xi＇an 710065 ,China) |
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| Abstract: | An iterative algorithm for solving the generalized mixed equilibrium problems was proposed in the Hilbert space ,and then was used to obtain the common solution to the generalized mixed equilibrium and fixed point problems .In addition ,the strong convergence theorem was derived under certain conditions .Those obtained results have improved and spred the latest work in this field . |
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| Keywords: | generalized mixed equilibrium problems fixed points mixed iteration nonexpansive mappings Hilbert space |
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