Hilbert空间中广义逆混合变分不等式的广义f-投影算法 |
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引用本文: | 周冬梅,何中全.Hilbert空间中广义逆混合变分不等式的广义f-投影算法[J].绵阳师范高等专科学校学报,2014(5):1-5. |
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作者姓名: | 周冬梅 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: | 四川省教育厅基金资助项目(08ZA159) |
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摘 要: | 文章研究了Hilbert空间中一类广义逆混合变分不等式解的存在性.利用广义f-投影算子的性质,构造了新的迭代公式,研究了这类迭代公式的收敛性,给出了所得的收敛结果是广义逆混合变分不等式的解.
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关 键 词: | 广义逆混合变分不等式 广义f-投影算子 迭代算法 |
A Generalized f-projection Algorithm to Generalized Inverse Mixed Variational Inequalities in Hilbert Space |
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Institution: | ZHOU Dong - mei, HE Zhong - quan (School of Mathematics and Information, China West Normal University, Nanchong, Sichuan 637002) |
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Abstract: | In this paper, a new generalized inverse mixed variational inequalities is introduced in Hilbert space. The properties of the generalized f- projection algorithm operator is used to construct a new iterative algo- rithm and the convergence of sequences generated by the algorithm is studied. |
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Keywords: | generalized inverse mixed variational inequalities generalized f- projection algorithm operator iterative algorithm |
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