| 带H-增生映象的广义变分包含问题 |
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| 引用本文： | 李红果,崔艳兰. 带H-增生映象的广义变分包含问题[J]. 延安大学学报(自然科学版), 2008, 27(2): 7-10 |
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| 作者姓名： | 李红果 崔艳兰 |
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| 作者单位： | 延安大学,数学与计算机学院,陕西,延安,716000 |
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| 摘 要： | 讨论了在q--致光滑空间中带H-增生映象的变分包含为题。引入和研究了一类含H-增生映象的广义集值变分包含，在Banach空间中适用与H-增生映象相联系的预解算子性质，构造了一类求变分包含逼近解的迭代算法，并讨论了由此算法产生的迭代序列的收敛性。
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| 关 键 词： | 变分包含 H-增生映象 预解式算子技巧 迭代算法 收敛性 |
Generalized Variational Inclusions Involving H-accertive Mappings |
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| LI Hong-guo,CUI Yan-lan. Generalized Variational Inclusions Involving H-accertive Mappings[J]. Journal of Yan'an University(Natural Science Edition), 2008, 27(2): 7-10 |
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| Authors: | LI Hong-guo CUI Yan-lan |
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| Affiliation: | LI Hong - guo, CUI Yan - lan (Department of Mathematics and Computer Science, Yanan University, Yanan, Shaanxi 716000) |
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| Abstract: | A new class of generalized variational inclusions involving H - accertive mappings are introduced and studied. By using the properties of the resolvent operator associated with a H - accertive mappings in Banach space, a new algorithm for approcimating the solution of this class of variational inclusions is given, the vonvergence of the sequence of iterates generated by the algorithm is also discussed. |
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| Keywords: | H - accertive mappings resolvent operator technique iterative algorithm convergence |
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