| 一类反向混合单调算子方程组解的存在惟一性定理 |
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| 引用本文： | 李闪.一类反向混合单调算子方程组解的存在惟一性定理[J].菏泽学院学报,2009,31(2). |
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| 作者姓名： | 李闪 |
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| 作者单位： | 商丘师范学院数学系,河南商丘,476000 |
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| 摘 要： | 运用锥与半序理论和非对称迭代方法,讨论半序BRnach空间一类反向混合单调算子方程组解的存在惟一性,并给出了迭代序列收敛于解的误差估计,并推广讨论了非反向混合单调算子方程组解的存在惟一性,所得结果改进和推广了混合单调算子方程某些已知相应结果.
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| 关 键 词： | 反向混合单调算子 方程组 不动点 惟一性 |
The Existence and Uniqueness Theorems of Solutions of Some Anti-mixed Monotone Operator System of Equations |
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| LI Shan.The Existence and Uniqueness Theorems of Solutions of Some Anti-mixed Monotone Operator System of Equations[J].Journal of Heze University,2009,31(2). |
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| Authors: | LI Shan |
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| Institution: | Department of Mathematics;Shangqiu Normal University;Shangqiu 476000;China |
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| Abstract: | Using the cone,partial theory and non-symmetry iteration method,the paper discusses the existence and uniqueness of solutions of some anti-mixed monotone operator of equations in Banach space.And the iteration sequences which converge the solution of operator equations and the error estimations are given.It also discusses something about non-anti-mixed monotone operator system of equations.The results improve and generalize some corresponding results of mixed monotone operators. |
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| Keywords: | anti-mixed monotone operator solutions fixed point uniqueness |
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