| 概率收缩偶与概率赋范空间中非线性算子方程的解 |
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| 引用本文： | 张惟明,张跃欣.概率收缩偶与概率赋范空间中非线性算子方程的解[J].河南师范大学学报(自然科学版),1992,20(4):24-29. |
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| 作者姓名： | 张惟明 张跃欣 |
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| 作者单位： | 郑州大学数学系，郑州大学数学系 |
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| 摘 要： | 作为概率收缩的推广,本文引入概率收缩偶的概念。借助于这一概念,讨论了概率赋范空间中一类非线性算子方程的公共解的存在性,同时建立概率收缩偶与概率压缩原理的联系,推广1-4]的主要结果。
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| 关 键 词： | 概率收缩偶 非Archimedean概率赋范空间 t—范数 公共不动点 |
PAIRED PROBABILITY CONTRACTORS AND THE SOLUTIONS OF NONLINEAR OPERATOR EQUATIONS IN PROBABILISTIC NORMED SPAE |
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| Zhang Weiming,Zhang Yaoxin Dept.of Math.Zhengzhou Univ..PAIRED PROBABILITY CONTRACTORS AND THE SOLUTIONS OF NONLINEAR OPERATOR EQUATIONS IN PROBABILISTIC NORMED SPAE[J].Journal of Henan Normal University(Natural Science),1992,20(4):24-29. |
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| Authors: | Zhang Weiming Zhang Yaoxin Deptof MathZhengzhou Univ |
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| Institution: | Zhang Weiming;Zhang Yaoxin Dept.of Math.Zhengzhou Univ. |
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| Abstract: | As a generalization of probability contractors,paired probability contractors are introduced.By virtue of this concept,the existence of common solutions of nonlinear operator equations in probabilistic normed space is obtained.The relation between paired probability contractors and probabilistic contractions is showed.The main results in1-4]are generalized. |
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| Keywords: | paired probability contractors nonarhimedean probabilistic normed space t-norm common fixed point |
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