| 一类非线性变分包含问题解的迭代程序的收敛性和稳定性 |
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| 引用本文： | 谷峰,王焕许.一类非线性变分包含问题解的迭代程序的收敛性和稳定性[J].应用泛函分析学报,2005,7(3):221-227. |
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| 作者姓名： | 谷峰 王焕许 |
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| 作者单位： | 1. 杭州师范学院数学系,杭州,浙江,310012
2. 绥化学院数学系,黑龙江,绥化,152000 |
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| 基金项目： | 杭州师范学院引进人才科研启动基金（021301）,黑龙江省自然科学基金（A0211）;黑龙江省普通高校骨干教师创新能力资助计划（1053G015）;黑龙江省教育厅科研项目（10511132） |
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| 摘 要： | 在实自反Banach空间中，证明了强增生型变分包含解的具有误差项的Ishikawa迭代程序的一些新的收敛性和稳定性定理.所得结果改进、推广和发展了一些作者早期与最近的相关结果.
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| 关 键 词： | 变分包含 强增生映象 带误差项的Ishikawa迭代序列 稳定性 |
| 文章编号： | 1009-1327（2005）03-0221-07 |
| 收稿时间： | 2004-07-06 |
| 修稿时间： | 2004年7月6日 |
Convergence and Stability of Iterative Procedures of Solutions for a Class of Nonlinear Variational Inclusions Problem |
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| GU Feng,WANG Huan-xu.Convergence and Stability of Iterative Procedures of Solutions for a Class of Nonlinear Variational Inclusions Problem[J].Acta Analysis Functionalis Applicata,2005,7(3):221-227. |
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| Authors: | GU Feng WANG Huan-xu |
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| Abstract: | Some new convergence and stability theorems of the Ishikawa iterative procedures with errors for solutions to variatoinal inclusions involving strongly accretive type mappings in real reflexive Banach space are proved. The results presented in this paper generalize, extend and improve many corresponding results, which were obtained by several authors early and recently. |
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| Keywords: | variational inclusion strongly accretive mapping Ishikawa iterative sequence with errors stability |
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