| 关于一族有限ξ严格伪压缩映射不动点问题和平衡问题混合投影下的强收敛性 |
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| 引用本文： | 李娜,李军.关于一族有限ξ严格伪压缩映射不动点问题和平衡问题混合投影下的强收敛性[J].数学物理学报(A辑),2013,33(1):114-122. |
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| 作者姓名： | 李娜 李军 |
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| 作者单位： | 1. 鲁东大学数学与信息学院 山东烟台264025
2. 烟台职业学院 山东烟台264670 |
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| 基金项目： | 国家自然科学基金(11001116)和山东省中青年科学家科研奖励基金(BS2010SF006)资助 |
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| 摘 要： | 为找到一族有限ξ严格伪压缩映射不动点集及平衡问题解集的公共元素,该文利用两种混合投影方法引入了一种迭代方案,且在给与参数适当的假设下,作者得到了两个强收敛性定理.
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| 关 键 词： | ξ严格伪压缩映射 不动点问题 平衡 混合投影方法 |
| 收稿时间： | 2011-01-11 |
| 修稿时间： | 2012-05-09 |
Strong Convergence Theorems for Solving EquilibriumProblems and Fixed Point Problems of a Finite Family ofξ-Strict Pseudo-Contraction Mappings by Two Hybrid Projection Methods |
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| Li Na
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Li Jun.Strong Convergence Theorems for Solving EquilibriumProblems and Fixed Point Problems of a Finite Family ofξ-Strict Pseudo-Contraction Mappings by Two Hybrid Projection Methods[J].Acta Mathematica Scientia,2013,33(1):114-122. |
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| Authors: | Li Na Li Jun |
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| Institution: | 1.Department of Mathematics and Information, Ludong University, Shandong Yantai |264025;
2.Yantai Vocational College, Shandong Yantai |264670 |
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| Abstract: | In this paper, we introduce an iterative scheme by using the hybrid projection methods for finding a common element of the set solutions of an equilibrium problem and the set of fixed points of a finite family of ξ-strict pseudo-contraction mappings in Hilbert space. We obtain two strong convergence theorems under mild assumptions on parameters for the sequences generated by these processes. |
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| Keywords: | &xi -strict pseudo-contraction mappingszz Fixed point problemszz Equilibriumzz Hybrid projection methodszz |
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