| 迭代法求解一类非单调算子方程 |
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| 引用本文： | 李飞祥,秦光仁.迭代法求解一类非单调算子方程[J].宜宾学院学报,2007,7(6):19-20. |
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| 作者姓名： | 李飞祥 秦光仁 |
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| 作者单位： | 安阳师范学院数学系,河南,安阳,455000 |
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| 摘 要： | 通过构造迭代收敛序列,讨论了一类非线性二元算子方程解的存在性和唯一性,并给出迭代收敛于解的误差估计,所得结果拓宽了某些已知结果的适用范围.
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| 关 键 词： | 锥 迭代 混合单调算子 不动点 正规常数 |
| 文章编号： | 1671-5365（2007）06-0019-02 |
| 修稿时间： | 2007-04-23 |
The Application of Iteration Method in Non- monotone Operators Equation |
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| Authors: | LI Fei-xiang QIN Guang-ren |
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| Institution: | Mathematics Department, Anyang Normal University, Anyang 455000, China |
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| Abstract: | By using the cone theory and non-symmetry iteration method,the existence and uniqueness of solutions of nonlinear operator equations are studied,and the iteration sequences which converge to the solution of operator equations and the error estimates are also given.The results presented improve and generalize some corresponding ones. |
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| Keywords: | Cone Iteration Mixed Monotonic Operator Fixed Point Regular Constants |
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