| 一类带扰动的算子方程组解的存在性和唯一性 |
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| 引用本文： | 何一农.一类带扰动的算子方程组解的存在性和唯一性[J].南阳师范学院学报,2011,10(3):1-4. |
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| 作者姓名： | 何一农 |
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| 作者单位： | 南阳师范学院数学与统计学院,河南南阳,473061 |
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| 摘 要： | 给出乘积空间中的压缩映像原理,利用它在Hilbert空间中讨论一类带扰动的非线性算子方程组S（x,y）＋M（x,y）=0 T（x,y）＋N（x,y）=0（x,y）∈X1×X2解的存在性和唯一性.
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| 关 键 词： | 算子方程组 扰动 不动点 压缩映像 |
Existence and uniqueness of the solution for a class of operators systems with perturbations |
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| HE Yi-nong.Existence and uniqueness of the solution for a class of operators systems with perturbations[J].Journal of Nanyang Teachers College,2011,10(3):1-4. |
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| Authors: | HE Yi-nong |
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| Institution: | HE Yi-nong(School of Mathematics and Statistics,Nanyang Normal University,Nanyang 473061,China) |
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| Abstract: | In this paper,using contraction mapping principle of product space,we study the existence and uniqueness of the solution for a class of nonlinear operators systems with perturbations S(x,y)+M(x,y)=0 T(x,y)+N(x,y)=0,(x,y)∈X1×X2 in Hilbert space. |
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| Keywords: | operator equation perturbation fixed point contractive mapping |
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