| 一类算子方程的正解 |
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| 引用本文： | 毛佳丽.一类算子方程的正解[J].运城学院学报,2014(5):23-26. |
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| 作者姓名： | 毛佳丽 |
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| 作者单位： | 中北大学理学院 数学系,太原,030051 |
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| 摘 要： | 主要通过正规锥的性质和半序的方法讨论了Banach空间中混合单调算子方程x=λA（x,x）＋B（x,x）正解的存在唯一性,其中A和B都是混合单调算子,λ为参数。
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| 关 键 词： | 混合单调算子 正解 不动点 |
The Positive Solution of a Class of Operator Equatio |
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| MAO Jia-li.The Positive Solution of a Class of Operator Equatio[J].JOURNAL OF YUNCHENG UNIVERSITY,2014(5):23-26. |
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| Authors: | MAO Jia-li |
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| Institution: | MAO Jia-li (Department of Mathematics of School of Science , North University of China, Taiyuan 030051, China) |
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| Abstract: | In this paper,we mainly concerned with the existence and uniqueness of positive solution of a mixed monotone operator equation x = λA（x,x） ＋ B（x,x） in Banach spaces by the properties of normal cones and partially ordered methods,where A,B are mixed monotone operators,λ is a parameter. |
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| Keywords: | Mixed monotone operator Positive solution Fixed point |
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