| 一类广义变分包含的迭代解 |
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| 引用本文： | 傅俊义,江慎铭,罗贤强.一类广义变分包含的迭代解[J].应用泛函分析学报,2003,5(3):276-280. |
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| 作者姓名： | 傅俊义 江慎铭 罗贤强 |
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| 作者单位： | 南昌大学数学系,江西,南昌,330047 |
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| 基金项目： | 江西省自然科学基金 (0 2 110 35 ) |
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| 摘 要： | 介绍一类新的涉及集值映射的变分包含问题，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，给出迭代序列与解的误差估计。
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| 关 键 词： | 迭代解 迭代序列 收敛性 误差估计 变分不等式 非线性分析 Banach空间 |
| 文章编号： | 1009-1327(2003)03-0276-05 |
| 修稿时间： | 2002年9月17日 |
Iterative Solution of Generalized Variational Inclusions |
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| FU Jun-yi,JIANG Shen-ming,LUO Xian-qiang.Iterative Solution of Generalized Variational Inclusions[J].Acta Analysis Functionalis Applicata,2003,5(3):276-280. |
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| Authors: | FU Jun-yi JIANG Shen-ming LUO Xian-qiang |
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| Institution: | FU Jun-yi,JIANG Shen-ming,LUO Xian-qiangDepartment of Mathematics,Nanchang University,Nanchang 330047,China |
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| Abstract: | In this paper, we introduce a new class of variat ional inclusions involving set-valued mappings, and give an iterative algorithm . We prove the convergence of the iterative sequence given by the algorithm andthe existence of the solutions of variational inclusions. We obtain the error es timate between the solution and the iterative sequence. |
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| Keywords: | variational inclusion iterative algorithm Lipschitz mapping stongly monotone mapping subdifferential |
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