| 一类混合单调算子方程组解的存在和唯一性定理 |
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| 引用本文： | 贾娜,左黎明,郑雄军. 一类混合单调算子方程组解的存在和唯一性定理[J]. 江西科学, 2006, 24(5): 280-282,300 |
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| 作者姓名： | 贾娜 左黎明 郑雄军 |
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| 作者单位： | 江西师范大学数学与信息科学学院,江西,南昌,330027;江西师范大学数学与信息科学学院,江西,南昌,330027;江西师范大学数学与信息科学学院,江西,南昌,330027 |
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| 摘 要： | 利用锥与半序理论和迭代技巧,给出了具有凹凸性但不具有任何连续性和紧性条件的混合单调算子方程组的解的存在唯一性定理,所得结果拓展了文献[1]中的混合单调算子方程的相应结果。
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| 关 键 词： | 锥 混合单调算子 算子方程组 |
| 文章编号： | 1001-3679（2006）05-0280-04 |
| 收稿时间： | 2006-06-02 |
| 修稿时间： | 2006-06-022006-08-24 |
Existence and Uniqueness of Solutions for Systems of some Mixed Monotone Operator Equations |
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| JIA Na,ZUO Li-ming,ZHENG Xiong-jun. Existence and Uniqueness of Solutions for Systems of some Mixed Monotone Operator Equations[J]. Jiangxi Science, 2006, 24(5): 280-282,300 |
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| Authors: | JIA Na ZUO Li-ming ZHENG Xiong-jun |
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| Affiliation: | College of Mathematic and Information Science, Jiangxi Normal University,Jiangxi Nanchang 330027 PRC |
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| Abstract: | In this paper,with using the mixed monotone opeator theory and cone and partial ordering theory,the existence and uniqueness theorems of solutions for the systems of opertor equations with concavity and covexity,but which do not possess any continuity and compactness conditions are given.The results obtained in this paper improve and generalize some known results of mixed monotone operators. |
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| Keywords: | Cone and partial ordering Mixed monotone operator Systems of equations |
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