| Hilbert空间中平衡问题和不动点问题的弱收敛定理 |
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| 引用本文： | 郭筱,周乐,李亚丽,邓磊.Hilbert空间中平衡问题和不动点问题的弱收敛定理[J].西南农业大学学报,2011,33(2). |
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| 作者姓名： | 郭筱 周乐 李亚丽 邓磊 |
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| 作者单位： | 西南大学数学与统计学院; |
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| 基金项目： | 国家自然科学基金资助项目(10771173) |
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| 摘 要： | 在Hilbert空间中,给出关于寻找平衡问题解集和两族无限非扩张映射不动点集的公共元的Ishikawa迭代格式,并得出此迭代的弱收敛定理.
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| 关 键 词： | 弱收敛定理 无限非扩张映射 Hilbert空间 |
Weak Convergence Theorems for Equilibrium Problems and Fixed Point Problems in Hilbert Space |
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| GUO Xiao,ZHOU Le,LI Ya-li,DENG Lei School of Mathematics , Statistics,Southwest University,Chongqing ,Chin.Weak Convergence Theorems for Equilibrium Problems and Fixed Point Problems in Hilbert Space[J].Journal of Southwest Agricultural University,2011,33(2). |
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| Authors: | GUO Xiao ZHOU Le LI Ya-li DENG Lei School of Mathematics Statistics Southwest University Chongqing Chin |
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| Institution: | GUO Xiao,ZHOU Le,LI Ya-li,DENG Lei School of Mathematics and Statistics,Southwest University,Chongqing 400715,Chin |
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| Abstract: | A new Ishikawa iteration scheme is proposed for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of two infinitely nonexpansive mappings in Hilbert space.A weak convergence theorem is established for this iteration. |
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| Keywords: | weak convergence theorem infinitely nonexpansive mapping Hilbert space |
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