| 非线性二元算子方程组的迭代求解方法 |
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| 作者姓名： | ZHANG Zhi-hong LI Wen-feng |
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| 作者单位： | [1]DepartmentofComputerScience,ShangqiuTeacher＇sCollege,Shangqiu476000,China [2]BasicSciencecollege,YellowRiverConservancyTechnicalInstitute,Kaifeng475001,China |
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| 基金项目： | Supported by the Important Science Foundation of Henan Education Commission(2000110019)，Supported by the Natural Science Foundation of Shangqiu(200211125) |
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| 摘 要： | Using the cone and partial ordering theory and mixed monotone operator theory, the existence and uniqueness of solutions for some classes of systems of nonlinear two binary operator equations in a Banach space with a partial ordering are discussed. And the error estimates that the iterative sequences converge to solutions are also given. Some relevant results of solvability of two binary operator equations and systems of operator equations are improved and generalized.
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| 关 键 词： | 迭代性 二元算子 算符方程 迭代解 |
Iterative Solution for Systems of Nonlinear Two Binary Operator Equations |
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| ZHANG Zhi-hong,LI Wen-feng.Iterative Solution for Systems of Nonlinear Two Binary Operator Equations[J].Chinese Quarterly Journal of Mathematics,2004,19(3):262-266. |
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| Authors: | ZHANGZhi-hong LIWen-feng |
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| Abstract: | Using the cone and partial ordering theory and mixed monotone operator theory, the existence and uniqueness of solutions for some classes of systems of nonlinear two binary operator equations in a Banach space with a partial ordering are discussed. And the error estimates that the iterative sequences converge to solutions are also given. Some relevant results of solvability of two binary operator equations and systems of operator equations are imnroved and generalized. |
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| Keywords: | Banach spaces two binary operators systems of operator equations iterative solution |
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