| 关于N.A.Menger PN-空间中概率收缩偶与非线性方程组的解的注记 |
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| 引用本文： | 方锦暄,宋桂安.关于N.A.Menger PN-空间中概率收缩偶与非线性方程组的解的注记[J].应用数学和力学,2000,21(7):759-765. |
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| 作者姓名： | 方锦暄 宋桂安 |
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| 作者单位： | 南京师范大学数学系, 南京210097 |
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| 基金项目： | 江苏省教委自然科学基金!资助项目 (1999SXX0 0 0 0SJ2 ) |
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| 摘 要： | 引进了(Φ,Δ)-型概率收缩偶的概念,它简化并减弱了张石生给出的概率收缩偶的定义。在N.A.Menger PN-空间中研究了具有这类概率收缩偶的非线性算子方程组的解的存在性与唯一性问题。改进并推广了M.Altman,A.C.Lee,W.J.Padgett,张石生等人的相应结果。
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| 关 键 词： | N.A.Menger PN-空间 (Φ Δ)-型概率收缩偶 选择算子 非线性方程组 |
| 收稿时间： | 1999-02-09 |
| 修稿时间： | 1999-02-09 |
A Note on Probabilistic Contractor Couple and Solutions for a System of Nonlinear Equations in N.A.Menger PN-Spaces |
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| Fang Jinxuan,Song Guian.A Note on Probabilistic Contractor Couple and Solutions for a System of Nonlinear Equations in N.A.Menger PN-Spaces[J].Applied Mathematics and Mechanics,2000,21(7):759-765. |
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| Authors: | Fang Jinxuan Song Guian |
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| Institution: | Department of Mathematics, Nanjing Normal University, Nanjing 210097, P R China |
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| Abstract: | The concept of(Φ,Δ)-type probabilistic contractor couple was introduced which simplifies and weakens the definition of probabilistic contractor couple given by Zhang Shisheng.The existence and uniqueness of the solutions for a system of nonlinear operator equations with this kind of propabilistic contractor couple in N.A.Menger PN-spaces were studied.The works improve and extend the corrosponding results by M.Altman,A.C.Lee,W.J.Padgett et al. |
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