| Hilbert空间中混合平衡问题与非扩张半群的强收敛定理 |
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| 引用本文： | 唐金芳.Hilbert空间中混合平衡问题与非扩张半群的强收敛定理[J].数学的实践与认识,2010,40(23). |
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| 作者姓名： | 唐金芳 |
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| 摘 要： | 在Hilbert空间中引进并研究了一种新的迭代算法,借以寻求混合平衡问题解集与非扩张半群不动点集的一公共元.所得到的结果,推广并改进了最近一些人所发布的新结果.
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| 关 键 词： | 非扩张半群 混合平衡问题 迭代方法 变分不等式 |
Strong Convergence Theorem for a Mixed Equilibrium Problem and Fixed Point Problem for a Nonexpansive Semigroup in Hilbert Spaces |
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| TANG Jin-fang.Strong Convergence Theorem for a Mixed Equilibrium Problem and Fixed Point Problem for a Nonexpansive Semigroup in Hilbert Spaces[J].Mathematics in Practice and Theory,2010,40(23). |
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| Authors: | TANG Jin-fang |
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| Abstract: | The main purpose of this paper is to introduce and study a new iterative algorithom for finding a common element of the set of solutions for a mixed equilibrium problem and the set of fixed points for a nonexpansive semigroup mapping in Hilbert space.The results presented in the paper extends and improves the corresponding results announced by many others. |
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| Keywords: | nonexpansive semigroup mixed equilibrium problem iterative method variational inequality |
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