| Hilbert空间中广义似平衡问题与k-严格伪压缩映象的强收敛定理 |
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| 引用本文： | 高文娟,何中全.Hilbert空间中广义似平衡问题与k-严格伪压缩映象的强收敛定理[J].乐山师范学院学报,2014(12):26-33. |
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| 作者姓名： | 高文娟 何中全 |
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| 作者单位： | 西华师范大学 数学与信息学院,四川 南充,637002 |
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| 基金项目： | 教育部科学技术重点项目 |
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| 摘 要： | 在Hilbert空间中,用FAN-KKM定理导出了广义似平衡问题的辅助问题的解的存在性和唯一性,在适当的条件下,引入和研究了一种新的混合迭代序列,用以寻求广义似平衡问题的解集与一个k-严格伪压缩映象的不动点集的公共元。
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| 关 键 词： | 广义似平衡问题 k-严格伪映象 不动点问题 |
Strong Convergence Therorem for Generalized Equilibrium-like Problem and k-Strict Pseudo-contraction Mapping in Hilbert Spaces |
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| GAO Wenjuan,HE Zhongquan.Strong Convergence Therorem for Generalized Equilibrium-like Problem and k-Strict Pseudo-contraction Mapping in Hilbert Spaces[J].Journal of Leshan Teachers College,2014(12):26-33. |
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| Authors: | GAO Wenjuan HE Zhongquan |
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| Institution: | (School of Mathematics and Information, China West Normal University, Nanchong Sichuan 637002, China) |
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| Abstract: | In Hilbert Spaces,by using the FAN-KKM theorem,the existence and uniqueness of solutions of the auxiliary problem for generalized equilibrium-like problem is derived.Under suitable conditions,it is proven that a new hybrid iterative scheme converge strongly to a common element of the set of solutions of a generalized equilibrium-like problem and the set of fixed points of a k-strict pseudo-contraction mapping. |
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| Keywords: | Generalized Equilibrium-like Problem k-Pseudo-Contraction Mapping Fixed Point Problem |
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