| 一类反向混合单调算子方程组解的存在惟一性 |
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| 引用本文： | 徐华伟. 一类反向混合单调算子方程组解的存在惟一性[J]. 海军工程大学学报, 2009, 21(1) |
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| 作者姓名： | 徐华伟 |
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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Banach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,同时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的结果.
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| 关 键 词： | 锥与半序 反向混合单调算子 非对称迭代 不动点 |
Existing uniqueness of solutions of some anti-mixed monotone operator system of equations |
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| XU Hua-wei. Existing uniqueness of solutions of some anti-mixed monotone operator system of equations[J]. Journal of Naval University of Engineering, 2009, 21(1) |
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| Authors: | XU Hua-wei |
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| Affiliation: | Dept.of Mathematics;Shangqiu Normal Univ.;Shangqiu 476000;China |
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| Abstract: | The cone,partial theory and non-symmetry iteration method was used to deal with the existing uniqueness of solutions to equations for a class of anti-mixed monotone operator system in Banach spaces.And the iteration sequences which converge to solution of operator equations and the error estimates were also given.For its application,an analysis was given to the existing uniqueness of solutions to equations for non-anti-mixed monotone operator system of equations.The results can improve some corresponding re... |
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| Keywords: | cone and partial ordering anti-mixed monotone operator asymmetric iteration fixed point |
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