| 一类非线性算子方程解的Mann迭代序列的收敛性 |
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| 引用本文： | 薛玲霞,时宗波.一类非线性算子方程解的Mann迭代序列的收敛性[J].西南民族学院学报(自然科学版),2009,35(2):225-227. |
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| 作者姓名： | 薛玲霞 时宗波 |
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| 作者单位： | [1]郑州旅游职业学院,河南郑州450009 [2]西峡职业中专,河南西峡474500 |
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| 摘 要： | 利用Mann迭代技巧，讨论了不具有连续性和紧性条件的非线性算子方程A（x，x）＋u0=Bx解的存在唯一性，并给出了迭代序列收敛于解的误差估计，所得结果是某些已知结果本质改进和推广．
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| 关 键 词： | Mann迭代 锥与半序 反向混合单调算子 不动点 |
The convergence of Mann iterative sequences of solutions for some nonlinear operator equations |
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| XUE Ling-xia,SHI Zong-bo.The convergence of Mann iterative sequences of solutions for some nonlinear operator equations[J].Journal of Southwest Nationalities College(Natural Science Edition),2009,35(2):225-227. |
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| Authors: | XUE Ling-xia SHI Zong-bo |
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| Institution: | XUE Ling-xia, SHI Zong-bo( Zhengzhou Tourism College, Zhengzhou 450009, E R. C.; 2. Xixia Vactional and Technical School, Xixia 474500, P. R. C) |
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| Abstract: | By using Mann iterative technique, we study the existence and uniqueness of solutions to some nonlinear operator equations A （x, x） ＋ u0 = Bx without continuity and compactness conditions, and the iteration sequences which converge to solution of operator equations and the error estimates. The results presented here improve and generalize some corresponding results. |
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| Keywords: | Mann iterative cone and partial ordering anti-mixed monotone operator fixed point |
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