| Banach空间中非单调二元算子方程的迭代解 |
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| 引用本文： | 张庆政,刘鸿运.Banach空间中非单调二元算子方程的迭代解[J].商丘师范学院学报,2000,16(2):62-64. |
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| 作者姓名： | 张庆政 刘鸿运 |
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| 作者单位： | 1. 商丘师专数学系,河南,商丘,476000
2. 商丘广播电视大学,河南,商丘,476000 |
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| 基金项目： | 河南省教委重点科研基金资助项目(98110020);山东省自然科学基金资助项目(Y97A12017) |
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| 摘 要： | 利用非线性泛函分析中的单调迭代方法和锥与半序理论,讨论Banach空间不具有单调性的二元算子方程解的存在性与唯一性,并给出收敛于方程的解的迭代序列和误差估计.文中的算子不具有任何连续性和紧性,也不要求算子是某序区间上的自映象.本文结果改进和推广了混合单调算子方程与一元算子方程迭代求解问题的某些相应结果.
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| 关 键 词： | 锥与半序 算子方程 迭代解 |
| 文章编号： | 1008-2662(2000)02-0062-03 |
| 修稿时间： | 1999年12月21 |
Iterative solution for non-monotone binary operator equations in Banach spaces |
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| ZHANG Qing-zheng,LIU Hong-yun.Iterative solution for non-monotone binary operator equations in Banach spaces[J].Journal of Shangqiu Teachers College,2000,16(2):62-64. |
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| Authors: | ZHANG Qing-zheng LIU Hong-yun |
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| Abstract: | With using the monotone iterative method and cone and partial ordering theory in nonlinear functional analysis,the existence and uniqueness of solution for nonmonotone binary operator equations in Banach spaces are discussed.And the iterative sequences which converge to solution of operator equations and the error estimates are also given.In this paper the operators do not possess any continuity and compactness,and that the operator is a self mapping on ordering interval is not required.The results presented here improve and generalize some corresponding results for iterative solution of mixed monotone operator equations and unary operator equations. |
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| Keywords: | cone and partial ordering operator equations iterative solutions |
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