| Banach空间中有限族“三解合一”的混合临近点法 |
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| 引用本文： | 卢家花,王元恒.Banach空间中有限族“三解合一”的混合临近点法[J].浙江师范大学学报(自然科学版),2011,34(2):126-131. |
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| 作者姓名： | 卢家花 王元恒 |
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| 作者单位： | 浙江师范大学,数理与信息工程学院,浙江,金华,321004 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 在一致凸一致光滑的Banach空间中引进了一个新的混合迭代序列,利用混合临近点法,找到了均衡问题与变分不等式及有限族半相对非扩张映射不动点问题的公共解(简称"三解合一"),并证明了该迭代序列强收敛到其公共解.所得结果改进和推广了已有的相应结果.
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| 关 键 词： | 混合临近点法 均衡问题 变分不等式 半相对非扩张映射 广义投影 |
Hybrid proximal-point method for finding "the common solutions of finite three type problems" in Banach space |
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| LU Jiahua,WANG Yuanheng.Hybrid proximal-point method for finding "the common solutions of finite three type problems" in Banach space[J].Journal of Zhejiang Normal University Natural Sciences,2011,34(2):126-131. |
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| Authors: | LU Jiahua WANG Yuanheng |
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| Affiliation: | LU Jiahua,WANG Yuanheng(College of Mathematics,Physics and Information Engineering,Zhejiang Normal University,Jinhua Zhejiang 321004,China) |
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| Abstract: | It was introduced a new hybrid iterative scheme for finding the common solutions of the set of solutions of an equilibrium problem,the set of solutions of a variational inequality and the fixed points of finite hemi-relatively non-expansive mappings by using of hybrid proximal-point methods in uniformly smooth and uniformly convex Banach space.Its strongly convergence was proved.The results improved and extended some related results of other authors. |
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| Keywords: | hybrid proximal-point method equilibrium problem variational inequality hemi-relatively non-expansive mapping generalized projection |
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