| Hilbert空间中一般强混合变分包含的迭代算法 |
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| 引用本文： | 曾六川.Hilbert空间中一般强混合变分包含的迭代算法[J].工程数学学报,2003,20(4):43-48. |
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| 作者姓名： | 曾六川 |
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| 作者单位： | 上海师范大学数学系,上海,200234 |
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| 基金项目： | Theteachingandresearchawardfundforoutstandingyoungteachersinhighereducationinstitut
ionsofMOE，PRC，thespecialfundsformajorspecialtiesofshanghaieducationcommittee，thedevelopmentfundofscienceandtechnologyinshanghaihighereducationinstitutions. |
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| 摘 要： | 研究了Hilbert空间中求一般强混合变分包含逼近解的迭代算法。这类变分包含概括了若干熟知的变分不等式与变分包含成特例。结果是刘理蔚与李育强(2001)及Noor(1998)的结果的推广和改进。
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| 关 键 词： | 变分包含 迭代算法 极大强单调算子 预解算子 |
Iterative Algorithms for General Strongly Mixed Variational Inclusions in Hilbert Spaces |
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| Abstract.Iterative Algorithms for General Strongly Mixed Variational Inclusions in Hilbert Spaces[J].Chinese Journal of Engineering Mathematics,2003,20(4):43-48. |
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| Authors: | Abstract |
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| Abstract: | We study iterative algorithms for finding approximate solutions to general strongly mixed variational inclusions in Hilbert spaces, which include, as a special case, some known variational inequalities and variational inclusions in this field. Our results are the extension and improvements of the results of Liu and Li (2001) and Noor (1998). |
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| Keywords: | variational inclusion iterative algorithm maximal strongly monotone operator resolvent operator |
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