| Hilbert空间中广义平衡问题和无限族非扩张映象的不动点问题的强收敛定理 |
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| 引用本文： | 唐金芳. Hilbert空间中广义平衡问题和无限族非扩张映象的不动点问题的强收敛定理[J]. 应用数学, 2011, 24(2) |
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| 作者姓名： | 唐金芳 |
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| 作者单位： | 宜宾学院数学系,四川宜宾,644007 |
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| 基金项目： | 四川省教育厅青年基金(09ZB102) |
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| 摘 要： | 在Hilbert空间中,用Fan-KKM定理导出了广义平衡问题的辅助问题的解的存在性和唯一性,讨论了寻找广义平衡问题和一族非扩张映象的公共不动点集的迭代序列,证明此序列强收敛于这两个集合的公共元.本文结论改进了一些近期结果.
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| 关 键 词： | 广义平衡问题 非扩张映象 不动点问题 |
Strong Convergence Theorem for a Generalized Equilibrium Problem and Fixed Point Problem for an Infinite Family of Nonexpansive Mappings in a Hilbert Space |
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| TANG Jinfang. Strong Convergence Theorem for a Generalized Equilibrium Problem and Fixed Point Problem for an Infinite Family of Nonexpansive Mappings in a Hilbert Space[J]. Mathematica Applicata, 2011, 24(2) |
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| Authors: | TANG Jinfang |
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| Affiliation: | TANG Jinfang (Department of Mathematics,Yibin University,Yibin 644007,China) |
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| Abstract: | By using the Fan KKM lemma,the existence and uniqueness of solution of the auxiliary problem for GEP is derived.A iterative method for finding a common element of the set of solution of a generalized equilibrium problem and the set of fixed points for an infinite family of nonexpansive mappings in a Hilbert space is induced.Under suitable conditions a strong convergence theorem is proved.The results presented in the paper extend and improved some recent results. |
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| Keywords: | Generalized equilibrium problem Nonexpansive mappings Fixed point problem |
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