| 张庆政.Banach空间中几类非线性算子方程的迭代解法及其应用[J].数学研究及应用,2005,25(2):319~324 |
| Banach空间中几类非线性算子方程的迭代解法及其应用 |
| Iterative Solution of Some Classes of Nonlinear Operators Equations in Banach Space and Its Applications |
| 投稿时间：2003-01-20 |
| DOI：10.3770/j.issn:1000-341X.2005.02.015 |
| 中文关键词: 非线性算子 算子方程 迭代解法 锥与半序 |
| 英文关键词:nonlinear operator operator equations iterative solution cone and partial ordering. |
| 基金项目:商丘市科技攻关项目(200211125) |
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| 中文摘要: |
| 利用单调迭代技巧和锥与半序理论,讨论几类非线性二元算子方程解的存在性与唯一性, 并给出迭代序列收敛速度的估计,改进和推广了某些已有结果.最后给出所得结果的应用. |
| 英文摘要: |
| By using the cone and partial ordering theory and the monotone iterative technique, we obtain the existence and uniqueness of solutions for some classes of nonlinear binary operators equations, and determial the convergence rate for iterative sequences. This extends known results. We also give the applications. |
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