| 概率收缩偶与非阿基米德Menger概率赋范空间中非线性方程组的解* |
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| 引用本文： | 张石生,彭永成.概率收缩偶与非阿基米德Menger概率赋范空间中非线性方程组的解*[J].应用数学和力学,1991,12(11):965-972. |
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| 作者姓名： | 张石生 彭永成 |
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| 作者单位： | 1.四川大学数学系; |
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| 摘 要： | 本文在非阿基米德Menger概率赋范空间中引入了概率收缩偶的概念,研究了非阿基米德Menger概率赋范空间中具概率收缩偶的非线性方程组的解的存在性与唯一性.发展和改进了引文1～5]的相应结果.
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| 关 键 词： | 非阿基米德Menger概率赋范空间 概率收缩偶 选择映象 非线性方程组 |
| 收稿时间： | 1990-09-27 |
Probabilistic Contractor Couple and Solutions for a System of Nonlinear Equations in Non-Archimedean Menger Probabilistic Normed Spaces |
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| Zhang Shi-sheng.Probabilistic Contractor Couple and Solutions for a System of Nonlinear Equations in Non-Archimedean Menger Probabilistic Normed Spaces[J].Applied Mathematics and Mechanics,1991,12(11):965-972. |
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| Authors: | Zhang Shi-sheng |
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| Institution: | 1.Department of Mathematics, Sichuan Universty, Chengdu;2.Department of Mathematics, Shaoguan University, Guangdong |
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| Abstract: | The purpose of this paper is to introduce the concept of probabilistic contractor couple in non-Archimedean probabilistic normed spaces and to study the existence and uniqueness of solutions for a system of nonlinear operator equations with probabilistic contractor couples in non-Archimedean probabilistic normed spaces. The results presented in this paper improve and extend the corresponding results in 1-5], |
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| Keywords: | non-Archimedean probabilistic normed space probabilistic contractor couple selection function system of nonlinear equations |
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