| 一类非单调二元算子方程的迭代解法 |
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| 引用本文： | 赵巧玲,刘燕. 一类非单调二元算子方程的迭代解法[J]. 西南民族学院学报(自然科学版), 2005, 31(5): 667-668 |
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| 作者姓名： | 赵巧玲 刘燕 |
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| 作者单位： | [1]商丘师院数学系,河南商丘476000 [2]郑州航空工业管理基础部,河南郑州450015 |
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| 摘 要： | 利用锥和半序理论，研究Banach空间一类不具有单调性的算子方程A（x,x）=x，其中A可表示A=A1＋A2,A1是混合单调的，A2是反向混合单调的，并得到了可解性定理．
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| 关 键 词： | 锥与半序 算子方程 反向混合单调 |
| 文章编号： | 1003-2843（2005）05-0667-02 |
| 收稿时间： | 2005-04-22 |
| 修稿时间： | 2005-04-22 |
Iterative solutions to a non-monotone binary operator equation |
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| ZHAO Qiao-ling,LIU Yan. Iterative solutions to a non-monotone binary operator equation[J]. Journal of Southwest Nationalities College(Natural Science Edition), 2005, 31(5): 667-668 |
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| Authors: | ZHAO Qiao-ling LIU Yan |
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| Abstract: | With cone and partial ordering theory, this paper studies the iterative solutions to non-monotone binary operator equations in Banach spaces where A has the decomposition A=A1+A2, A1 is mixed monotone, and A2 is anti-mixed monotone. The results presented here improve and generalize some corresponding results for mixed monotone operator equations. |
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| Keywords: | cone and partial ordering operator equation anti-mixed monotone |
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