| 概率赋范空间上的不动点定理及其应用 |
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| 引用本文： | 龚怀云 向淑晃. 概率赋范空间上的不动点定理及其应用[J]. 西安交通大学学报, 1993, 27(3): 121-126 |
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| 作者姓名： | 龚怀云 向淑晃 |
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| 作者单位： | 西安交通大学数学系(龚怀云)，西安交通大学数学系(向淑晃) |
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| 摘 要： | 本文对完备的局部有界的概率赋范空间和完备的邻域N-局部凸概率赋范空间上的压缩映象,证明其存在唯一的不动点,并给出在一类Frechet空间上的应用.
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| 关 键 词： | 概率赋范空间 压缩映象 不动点定理 |
FIXED POINT THEOREMS ON PROBABILISTIC NORMED SPACE AND THEIR APPLICATIONS |
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| Gong Huaiyun Xiang Suhuang. FIXED POINT THEOREMS ON PROBABILISTIC NORMED SPACE AND THEIR APPLICATIONS[J]. Journal of Xi'an Jiaotong University, 1993, 27(3): 121-126 |
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| Authors: | Gong Huaiyun Xiang Suhuang |
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| Affiliation: | Department of Mathematics |
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| Abstract: | This paper studies fixed points theorems about contraction mapping on probabilistic normed space. It is proved that every contraction mapping has a unique fixed point on a complete locally bounded PN space and also on a complete neighbor N-locally convex PN space. |
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| Keywords: | probabilistic normed spaces contraction mapping probabistic metric spaces |
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