| Hilbert空间中的一类集值变分包含 |
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| 引用本文： | 罗 静,隆建军. Hilbert空间中的一类集值变分包含[J]. 井冈山大学学报(自然科学版), 2014, 0(2): 14-18 |
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| 作者姓名： | 罗 静 隆建军 |
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| 作者单位： | [1]四川理工学院理学院,四川自贡643000 [2]攀枝花市大河中学,四川攀枝花617061 |
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| 摘 要： | 讨论了在广义极大单调意义下的一类变分包含,并且使用预解算子技巧研究这类变分包含解的迭代逼近.改进和推广了近期文献中的相关结果。
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| 关 键 词： | 变分包含 单调映象 预解算子 迭代算法 收敛性 |
A CLASS OF SET-VALUED VARIATIONAL INCLUSIONS IN HILBERT SPACES |
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| LUO Jing,LONG Jian-jun. A CLASS OF SET-VALUED VARIATIONAL INCLUSIONS IN HILBERT SPACES[J]. Journal of Jinggangshan University(Natural Sciences Edition), 2014, 0(2): 14-18 |
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| Authors: | LUO Jing LONG Jian-jun |
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| Affiliation: | 1.School of Scicnce, Sichuan University of Science ＆ Enginecfing,Zigong, Sichuan 643000,China; 2.Dahe Middle School of Panzhihua, Panzhihua, Sichuan 617061 ,China) |
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| Abstract: | By using some properties of generalized maximal monotonicty mapping and the resolvent operator technique, in Hilbert space,the author studied a class of variational inclusions with generalized maximal monotonicty mapping and constructed an algorithm for approximating the solution of this class of variational inclusions with generalized maximal monotonicty mapping. |
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| Keywords: | variational inclusions monotone mapping resolvent operator algorithm convergence |
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