| Hilbert空间中关于广义平衡问题与不动点问题公共解的收敛定理 |
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| 引用本文： | 刘英. Hilbert空间中关于广义平衡问题与不动点问题公共解的收敛定理[J]. 应用数学, 2011, 24(4) |
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| 作者姓名： | 刘英 |
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| 作者单位： | 河北大学数学与计算机学院,河北保定,071002 |
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| 基金项目： | the Natural Science Youth Foundation of Hebei Province(A2011201053, A2010000191); the Natural Science Youth Foundation of Hebei Education Commission(2010110) |
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| 摘 要： | 本文在Hilbert空间中引进了一迭代方法来逼近两个集合的公共元素,这两个集合分别是一类广义平衡问题的解集和两个渐近非扩张映射公共不动点集.得到一强收敛定理,所得结果提高和推广了许多作者的相应结果.
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| 关 键 词： | 度量投影 不动点 广义平衡问题 渐近非扩张映射 逆强单调映射 |
Convergence Theorems of Common Elements for Generalized Equilibrium Problems and Fixed Point Problems in Hilbert Spaces |
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| LIU Ying. Convergence Theorems of Common Elements for Generalized Equilibrium Problems and Fixed Point Problems in Hilbert Spaces[J]. Mathematica Applicata, 2011, 24(4) |
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| Authors: | LIU Ying |
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| Affiliation: | LIU Ying (College of Mathematics and Computer,Hebei University,Baoding 071002,China) |
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| Abstract: | We introduce an iterative method for finding a common element of the set of solutions of a generalized equilibrium problem and the set of common fixed points of two asymptotically nonexpansive mappings in Hilbert spaces and then obtain a strong convergence theorem.Our results improve and extend the corresponding results announced by many others. |
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| Keywords: | Metric projection Fixed point Generalized equilibrium problem Asymptotically nonexpansive mapping Inverse-strongly monotone mapping |
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