| ON THE EXISTENCE AND UNIQUENESS THEOREMS OF SOLUTIONS FOR THE SYSTEMS OF MIXED MONOTONE OPERATOR EQUATIONS WITH APPLICATIONS |
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| 作者姓名： | 张石生 郭伟平 |
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| 作者单位： | [1]DepartmentofMathematics,SichuanUniversity,Chengdu610064 [2]DepartmentufMathemates,QiqihaerTeacher＇sCollege,Qiqihaer161006 |
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| 摘 要： | The existence, uniqueness and non-symmetric iterative approximation of solutions for a class of systems of mixed monotone operator equations are discussed. As an appplication, we utilize the results presented in this paper to study the existence and uniqueness problems of common solutions for a class of systems of functional equations arising in dynamic programming of multistage decision processes and a class of systems of nonlinear integral equations. The results obtained in this paper not only answer an open question suggested in 3] but also generalize the corresponding results of.
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| 关 键 词： | 混合单调算子 不对称迭代 功能函数 非线性 巴拿赫空间 |
| 收稿时间： | 6 March 1991 |
On the existence and uniqueness theorems of solutions for the systems of mixed monotone operator equations with applications |
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| Chang Shihsen,Guo Weiping.ON THE EXISTENCE AND UNIQUENESS THEOREMS OF SOLUTIONS FOR THE SYSTEMS OF MIXED MONOTONE OPERATOR EQUATIONS WITH APPLICATIONS[J].Applied Mathematics A Journal of Chinese Universities,1993,8(1):1-14. |
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| Authors: | Chang Shihsen Guo Weiping |
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| Institution: | (1) Department of Mathematics, Sichuan University, 610064 Chengdu;(2) Department of Mathematics, Qiqihaer Teacher’s College, 161006 Qiqihaer |
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| Abstract: | The existence, uniqueness and non-symmetric iterative approximation of solutions for a class of systems of mixed monotone operator equations are discussed. As an application, we utilize the results presented in this paper to study the existence and uniqueness problems of common solutions for a class of systems of functional equations arising in dynamic programming of multistage decision processes and a class of systems of nonlinear integral equations. The results obtained in this paper not only answer an open question suggested in 3] but also generalize the corresponding results of 1,2]. |
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| Keywords: | Mixed Monotone Operator Non-symmetric Iteration System of Functional Equations |
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