| 一类非线性二元反向混合单调算子方程的迭代解法 |
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| 引用本文： | 王秋亮.一类非线性二元反向混合单调算子方程的迭代解法[J].西南民族学院学报(自然科学版),2009,35(5):928-930. |
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| 作者姓名： | 王秋亮 |
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| 作者单位： | 商丘师院数学系,河南商丘,476000 |
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| 基金项目： | 河南省自然科学基金资助项目 |
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| 摘 要： | 运用锥理论与单调迭代技巧，讨论了在较弱条件下一类反向混合单调算子方程的解存在唯一性，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： | 锥与半序 反向混合单调算子 算子方程 |
Iterative solution of some nonlinear binary anti-mixed monotone operator equation |
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| WANG Qiu-liang.Iterative solution of some nonlinear binary anti-mixed monotone operator equation[J].Journal of Southwest Nationalities College(Natural Science Edition),2009,35(5):928-930. |
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| Authors: | WANG Qiu-liang |
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| Institution: | WANG Qiu-liang (Department of Mathematics, Shangqiu Teacher＇s College, Shangqiu 476000, P.R.C.) |
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| Abstract: | By using the cone theory and the monotone succession skills, this paper studies the existence and uniqueness of solutions of a class of nonlinear binary anti-mixed monotone operator equation under inferior conditions. The results presented here improve and generalize some corresponding results. |
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| Keywords: | cone and partial ordering anti-mixed monotone operator operator equations |
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