| 广义平衡问题与非扩张映象不动点问题公解的一个新迭代方法 |
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| 引用本文： | 刘敏,张石生.广义平衡问题与非扩张映象不动点问题公解的一个新迭代方法[J].数学研究及应用,2010,30(6):1061-1070. |
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| 作者姓名： | 刘敏 张石生 |
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| 作者单位： | 宜宾学院数学系, 四川 宜宾 644000;宜宾学院数学系, 四川 宜宾 644000 |
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| 基金项目： | 四川省教育厅青年基金(Grant No.09ZB102). |
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| 摘 要： | In this paper,we introduce a new iterative scheme for finding a common element of the set of solutions for a generalized equilibrium problems and the set of fixed points for nonexpansive mappings in Hilbert space.Under suitable conditions,some strong convergence theorems are proved.Our results extend and improve some recent results.
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| 关 键 词： | nonexpansive mapping generalized equilibrium problem variational inequality continuous monotone mapping. |
| 收稿时间： | 2008/11/21 0:00:00 |
| 修稿时间： | 2009/6/30 0:00:00 |
A New Iterative Method for Finding Common Solutions of Generalized Equilibrium Problem and Fixed Point Problem in Hilbert Spaces |
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| Min LIU and Shi Sheng ZHANG.A New Iterative Method for Finding Common Solutions of Generalized Equilibrium Problem and Fixed Point Problem in Hilbert Spaces[J].Journal of Mathematical Research with Applications,2010,30(6):1061-1070. |
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| Authors: | Min LIU and Shi Sheng ZHANG |
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| Institution: | Department of Mathematics,Yibin University,Sichuan 644007,P.R.China |
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| Abstract: | In this paper, we introduce a new iterative scheme for finding a common element of the set of solutions for a generalized equilibrium problems and the set of fixed points for nonexpansive mappings in Hilbert space. Under suitable conditions, some strong convergence theorems are proved. Our results extend and improve some recent results. |
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| Keywords: | nonexpansive mapping generalized equilibrium problem variational inequality continuous monotone mapping |
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