Banach空间中一类广义混合变分不等式组的投影算法 |
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引用本文: | 张艳,何中全,阿力非日. Banach空间中一类广义混合变分不等式组的投影算法[J]. 山东师范大学学报(自然科学版), 2012, 0(3): 14-18 |
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作者姓名: | 张艳 何中全 阿力非日 |
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作者单位: | [1]西华师范大学数学与信息学院,四川南充637009 [2]四川省岳池县第一中学,四川岳池638300 |
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基金项目: | 四川省教育厅重点课题基金资助项目(08ZA159). |
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摘 要: | 在Banach空间中引入和研究了一类广义混合变分不等式组,提出了一种新的迭代算法,并证明了由此生成的迭代序列关于这类广义混合变分不等式组解在一定条件下的强收敛性.
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关 键 词: | 广义混合变分不等式组 投影算法 收敛性 |
PROJECTION ALGORITHMS FOR THE SYSTEM OF GENERALIZED MIZED VARIATIONAL INEQUALITIES IN BANACH SPACES |
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Affiliation: | Zhang Yan, He Zhongquan,A Li Feiri ( 1 ) School of Mathematics and Information, China West Normal University, 637009, Nanchong, Sichuan, China; 2 ) No. 1 Middle School of Yuechi ,638300, Yuechi, Sichuan, China ) |
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Abstract: | A system of generalized variational ineqaulities is introduced and considered in Banach spaces. A new iterative algorithn is proposed and the strong convergence of the proposed iterative methods under suitable conditions is proved. |
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Keywords: | system of generalized mixed variational ineqaulities projection operater convergence existence of solutions |
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