| 非阿基米德Menger概率度量空间中相容映象对的公共不动点定理及应用 |
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| 引用本文： | 张石生,黄南京,吴定平.非阿基米德Menger概率度量空间中相容映象对的公共不动点定理及应用[J].四川大学学报(自然科学版),1991(1). |
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| 作者姓名： | 张石生 黄南京 吴定平 |
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| 作者单位： | 四川大学数学系
(张石生，黄南京)，四川大学数学系(吴定平) |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 引入一类非阿基米德Menger概率度量空间,讨论该类空间中相容映象对的公共不动点的存在性,得出了一些新型的不动点定理.作为应用,我们给出了随机算子方程组公共随机解的一个存在性定理.
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| 关 键 词： | 相容映象 非阿基米德Menger空间 公共不动点定理 |
COMMON FIXED POINT THEOREMS FOR A CLASS OF PAIRS OF COMPATIBLE MAPPINGS IN NONARCHIMEDEAN MENGER PROBABILISTIC METRIC SPACES WITH APPLICATIONS |
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| Zhang Shisheng Huang Nanjing Wu Dingping.COMMON FIXED POINT THEOREMS FOR A CLASS OF PAIRS OF COMPATIBLE MAPPINGS IN NONARCHIMEDEAN MENGER PROBABILISTIC METRIC SPACES WITH APPLICATIONS[J].Journal of Sichuan University (Natural Science Edition),1991(1). |
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| Authors: | Zhang Shisheng Huang Nanjing Wu Dingping |
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| Institution: | Department of Mathematics |
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| Abstract: | The purpose of this paper is to introduce a class of nonarchimedean Menger probabilistic metric spaces, to study the existence of common fixed points for a class of pairs of compatible mappings in this kind of spaces and to obtain some new type of fixed point theorems. As an application we use the results presented in this paper to discuss the existence of common solutions for some class of systems of random operator equations. |
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| Keywords: | Compatible mapping Nonarchimedean Menger space common fixed point theorem |
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