| Banach空间中一类反向混合单调算子方程的迭代解法 |
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| 引用本文： | 宋益荣.Banach空间中一类反向混合单调算子方程的迭代解法[J].商丘职业技术学院学报,2011,10(2):1-3. |
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| 作者姓名： | 宋益荣 |
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| 作者单位： | 商丘职业技术学院,河南商丘,476000 |
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| 摘 要： | 运用半序理论与单调迭代技巧,讨论了一类反向混合单调算子方程A(x,x)=Bx解的存在唯一性,并给出了迭代序列收敛速度的误差估计,所得结果是某些已有结果的本质改进和推广.
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| 关 键 词： | 算子方程 锥与半序 反向混合单调算子 迭代解法 |
Iterative Solution of Some Anti -mixed Monotone Operator Equations in Banach Space |
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| SONG Yi-rong.Iterative Solution of Some Anti -mixed Monotone Operator Equations in Banach Space[J].Journal of Shangqiu Vocational and Technical College,2011,10(2):1-3. |
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| Authors: | SONG Yi-rong |
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| Institution: | SONG Yi-rong(Shangqiu Volcational and Technical College,Shangqiu 476000,China) |
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| Abstract: | Using partial ordering theory and the monotone iterative technique,the existence and uniqueness of solution for a class of anti-mixed monotone operator equation A(x,x)=Bx are discussed.And the estimates of convergence rate for iterative sequence are also given.The results presented here improve and generalize some corresponding results. |
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| Keywords: | operator equations cone and partial ordering anti-mixed monotone operator iterative solution |
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