| 几类非线性二元算子方程组的迭代解法(英文) |
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| 引用本文： | 庞进生,庞进丽.几类非线性二元算子方程组的迭代解法(英文)[J].河南科学,2007,25(5):701-704. |
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| 作者姓名： | 庞进生 庞进丽 |
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| 作者单位： | 商丘职业技术学院,河南,商丘,476100 |
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| 摘 要： | 利用混合单调算子和锥与半序理论,讨论Banach空间中几类非线性二元算子方程组的解的存在性和唯一性,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 二元算子 算子方程组 迭代解法 |
| 文章编号： | 1004-3918（2007）05-0701-04 |
| 修稿时间： | 2006-05-10 |
Iterative Solution for some Classes of Systems of Nonlinear Two Binary Operators Equations |
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| PANG Jin-sheng,PANG Jin-li.Iterative Solution for some Classes of Systems of Nonlinear Two Binary Operators Equations[J].Henan Science,2007,25(5):701-704. |
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| Authors: | PANG Jin-sheng PANG Jin-li |
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| Institution: | Shangqiu Vocatonal and Technical College,Shangqiu 476100,China |
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| Abstract: | Using the mixed monotone operators theory and the cone with partially ordered 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 about the sovabilitg of two binary operators equations and systems of operator equations are improved and generalized. |
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| Keywords: | Banach space two binary operator system of operator equations iterative solution |
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