| Hilbert空间中均衡问题的迭代解(英文) |
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| 引用本文： | 周光辉. Hilbert空间中均衡问题的迭代解(英文)[J]. 大学数学, 2007, 23(2): 51-55 |
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| 作者姓名： | 周光辉 |
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| 作者单位： | 淮北煤炭师范学院,数学系,安徽,淮北,235000 |
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| 基金项目： | the NST(2006kj051c)of Anhui Colleges and Universities the Subsidized Plan for Anhui Young Teachers in Advanced Schools(2005jq1132) |
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| 摘 要： | 研究的均衡问题(EP)是指:找x∈C,使F(x,y)≥0,y∈C.文中构造了Hilbert空间中均衡问题解的迭代序列{xn}并证明了存在均衡解x~,使得{xn}弱收敛于x~(n→+∞),所得结果包含Moudafi的已有结果作为特殊情形.
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| 关 键 词： | 均衡 单调 上半连续 |
| 文章编号： | 1672-1454（2007）02-0051-05 |
| 收稿时间： | 2005-12-29 |
| 修稿时间： | 2005-12-29 |
An Iterative Method for Equilibrium Problems in Hilbert Spaces |
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| ZHOU Guang-hui. An Iterative Method for Equilibrium Problems in Hilbert Spaces[J]. College Mathematics, 2007, 23(2): 51-55 |
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| Authors: | ZHOU Guang-hui |
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| Abstract: | The equilibrium problems which we called EP is to find x∈C such that F(x,y)≥0 for all y∈C. An iterative method for solving EP is studied and its convergence is established in this paper. We obtained for every sequence {xn} generated by our algorithms, there exists an (x), which is a solution of EP such that {xn} converges to (x) weakly as n→+∞. |
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| Keywords: | equilibrium problems monotone upper hemicontinuous |
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