| 关于广义混合次似梯度逼近变分不等式解集和非扩张映像不动点集的公共元 |
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| 引用本文： | 罗丹.关于广义混合次似梯度逼近变分不等式解集和非扩张映像不动点集的公共元[J].周口师范学院学报,2012,29(5):38-43,122. |
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| 作者姓名： | 罗丹 |
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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,637009 |
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| 基金项目： | 教育部科学技术重点项目(No.211163) |
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| 摘 要： | 在希尔伯特空间中借助混合次似梯度的方法去逼近非扩张映射S的不动点集F（S）和单调且利普希次连续映射A的单调变分不等式解集ΩA的公共元,用这种方法得到的三个序列强收敛到这个公共元z∈F（S）∩ΩA.
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| 关 键 词： | 非扩张映射 混合次似梯度 单调映射 逆强单调 强收敛 |
Generalized hybrid extragradient-like approximation method for common elements of solutions set of variational inequalities and fixed points of nonexpansive mappings |
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| LUO Dan.Generalized hybrid extragradient-like approximation method for common elements of solutions set of variational inequalities and fixed points of nonexpansive mappings[J].Journal of Zhoukou Normal University,2012,29(5):38-43,122. |
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| Authors: | LUO Dan |
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| Institution: | LUO Dan(College of Mathematics and Information,China West Normal University,Nanchong 637009,China) |
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| Abstract: | The purpose of this paper is to approximate a common element of F(S) the set of fixed point of a nonexpansive mapping S and ΩA the set of solutions of the variational inequalities for monotone,Lipschitz continuous mapping A by using hybrid extragradient-like method in Hilbert spaces.Three sequences defined by the method are proved to converge strongly to the same common element of F(S)∩ΩA. |
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| Keywords: | nonexpansive operator hybrid extragradient-like method monotone operator strong converge inverse strongly monotone |
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