| Banach空间中几类非线性二元算子方程组的迭代求解方法 |
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| 引用本文： | 张庆政. Banach空间中几类非线性二元算子方程组的迭代求解方法[J]. 西南民族学院学报(自然科学版), 2003, 29(2): 133-135 |
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| 作者姓名： | 张庆政 |
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| 作者单位： | 商丘师范学院计算机科学系 河南商丘 |
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| 基金项目： | 河南省教委重点科研基金项(2000110019)，商丘市科技攻关项目(200211125). |
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| 摘 要： | 利用锥与半序理论和混合单调算子理论，讨论半序Banach空间中几类非线性二元算子方程组的解的存在唯一性，并给出迭代序列收敛于解的误差估计，改进和推广了关于二元算子方程和方程组可解性的相应结果．
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| 关 键 词： | Banach空间 非线性二元算子方程组 迭代求解 误差估计 |
| 文章编号： | 1003-2843(2003)02-0133-03 |
| 修稿时间： | 2003-01-18 |
Iterative solution for some classes of systems of nonlinear two binary operators equations in Banach spaces |
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| ZHANG Qing-zheng. Iterative solution for some classes of systems of nonlinear two binary operators equations in Banach spaces[J]. Journal of Southwest Nationalities College(Natural Science Edition), 2003, 29(2): 133-135 |
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| Authors: | ZHANG Qing-zheng |
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| Abstract: | Using the cone and partial ordering theory and mixed monotone operators theory, the existence and uniqueness of solutions for some classes of systems of nonlinear two binary operator equations are discussed. And the error estimates that the iterative sequences converge to solutions are also given. Some relevant results of two binary operators equations and systems of operator equations are improved and generalized. |
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| Keywords: | Banach spaces two binary operators systems of operator equations iterative solution |
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