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Menger概率赋范空间中非线性方程组解的存在唯一性
引用本文:林文贤.Menger概率赋范空间中非线性方程组解的存在唯一性[J].韩山师范学院学报,1996(3).
作者姓名:林文贤
摘    要:本文在Menger概率赋范空间中引入概率收缩偶的概念,研究了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,发展和改进了文献1~3]的相应结果。

关 键 词:Menger概率赋范空间  概率收缩偶  选择映象  非线性方程组

The Existence and Uniqueness for Solutions for a System of Nonlinear Equations in Menger Probabilistic Normed Spaces
Lin Wenxian.The Existence and Uniqueness for Solutions for a System of Nonlinear Equations in Menger Probabilistic Normed Spaces[J].Journal of Hanshan Teachers College,1996(3).
Authors:Lin Wenxian
Institution:Lin Wenxian
Abstract:The purpose of this paper is to introduce the coucept of probabilistic contractor couple in Menger probabilistic normed spaces and to study the existence and uniqueness of solutions for a system of nonlinear operator equations with probabilistci contractor couples in Menger probabilistic normed spaces. The results presented in this paper improve and extend the corresponding results in 1-3].
Keywords:Menger probabilistic normed space  probabilistic contractor couple  selection function  system of nonlinear equations    
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