| Banach空间中一类广义变分包含的迭代解 |
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| 引用本文： | 李秀,王元恒.Banach空间中一类广义变分包含的迭代解[J].南阳师范学院学报,2004,3(3):4-9. |
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| 作者姓名： | 李秀 王元恒 |
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| 作者单位： | 浙江师范大学,数理学院,浙江,金华321004 |
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| 摘 要： | 在Banach空问中介绍一类涉及集值映射的广义变分包含问题，构造其迭代序列，并证明迭代序列收敛于变分包含问题的解，给出迭代解与解的误差估计，是几位作早期与最近的相应结果的改进与推广。
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| 关 键 词： | Banach空间 广义变分包含 迭代解 集值映射 误差估计 |
| 文章编号： | 1671-6132(2004)03-0004-06 |
| 修稿时间： | 2004年1月5日 |
Iterative Solution of Generalized Variational Inclusions in Banach Spaces |
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| LI Xiu,WANG Yuan-heng.Iterative Solution of Generalized Variational Inclusions in Banach Spaces[J].Journal of Nanyang Teachers College,2004,3(3):4-9. |
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| Authors: | LI Xiu WANG Yuan-heng |
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| Abstract: | In this paper,we introduce a class of variational inclusions involving set-valued mappings in real Banach spaces,and give an iterative algorithm.We prove the convergence of the iterative sequence given by the algorithm and the existence of the solutions of variational inclusions.We obtain the error estimate between the solution and iterative sequence.The results presented in this paper extend and improve the corresponding results obtained by several authors early and recently. |
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| Keywords: | variational inclusion m-accretive mapping Lipschitz mapping strongly accretive mapping subdifferential |
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