| 一类非线性算子方程解存在性的注记 |
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| 引用本文： | 狄爱芹,乔保民.一类非线性算子方程解存在性的注记[J].大学数学,2012(2):81-82. |
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| 作者姓名： | 狄爱芹 乔保民 |
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| 作者单位： | 商丘师范学院数学系 |
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| 摘 要： | 利用不动点指数理论,讨论了非线性算子方程Ax=μx解的存在性并给出了方程解的存在性定理,推广了某些文献已有的结果.
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| 关 键 词： | 非线性算子方程 半闭1-集压缩算子 解的存在性 |
Remarks on Existence of Solution for a Class of Non-monotone Operator Equation |
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| DI Ai-qin,QIAO Bao-min.Remarks on Existence of Solution for a Class of Non-monotone Operator Equation[J].College Mathematics,2012(2):81-82. |
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| Authors: | DI Ai-qin QIAO Bao-min |
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| Institution: | (Department of Mathematics,Shangqiu Normal College,Shangqiu 476000,China) |
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| Abstract: | The existence of solution for the non-monotone operator equationAx=μx is discussed and theorems of existence are given in 1].This paper further generalize the theorem. |
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| Keywords: | non-monotone operator equation 1-set-contractive existence of solution |
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