| 平衡问题与不动点问题公共解的迭代法 |
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| 引用本文： | 陈俊敏,范铁钢,佟慧.平衡问题与不动点问题公共解的迭代法[J].河北大学学报(自然科学版),2010,30(1). |
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| 作者姓名： | 陈俊敏 范铁钢 佟慧 |
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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： | 河北省教育厅科学研究计划支持项目(Z2009111);;河北省自然科学基金资助项目(A2009151);;国家自然科学基金资助项目(10971045) |
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| 摘 要： | 在Hilbert空间中,利用杂交算法构造迭代序列,对平衡问题与渐近非扩张映射不动点的公共解进行研究,并证明所提出的迭代序列强收敛于平衡问题与渐近非扩张映射不动点的公共解,推广和扩展了现有的一些结果.
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| 关 键 词： | 渐近非扩张映射 平衡问题 不动点 杂交算法 |
An Iterative Method for Finding Common Solution of Equilibrium and Fixed Point Problems |
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| CHEN Jun-min,FAN Tie-gang,TONG Hui.An Iterative Method for Finding Common Solution of Equilibrium and Fixed Point Problems[J].Journal of Hebei University (Natural Science Edition),2010,30(1). |
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| Authors: | CHEN Jun-min FAN Tie-gang TONG Hui |
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| Affiliation: | College of Mathematics and Computer Science;Hebei University;Baoding 071002;China |
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| Abstract: | An iterative scheme is studied by using the hybrid methods for finding common elements of the solutions of the equilibrium problems and the fixed points of an asymptotically nonexpansive mapping in Hilbert spaces.The proposed scheme converges strongly to a common solution of the solutions of the equilibrium problems and the fixed points of an asymptotically mapping.The results presented in this paper extend and generalize the recent results. |
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| Keywords: | asymptotically nonexpansive mappings equilibrium problem fixed point hybrid method |
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