| 半序概率度量空间中压缩算子的不动点定理 |
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| 引用本文： | 朱传喜,李菲菲.半序概率度量空间中压缩算子的不动点定理[J].应用数学,2011,24(3). |
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| 作者姓名： | 朱传喜 李菲菲 |
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| 作者单位： | 南昌大学数学系,江西南昌,330031 |
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| 基金项目： | 国家自然科学基金(10761007,11071108); 江西省自然科学基金(2007GZS20510) |
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| 摘 要： | 半序方法是研究非线性算子方程问题的主要方法之一.在概率度量空间中引入半序,并且利用半序方法研究了非线性算子的不动点问题,推广了度量空间中序压缩算子的不动点定理,获得若干新的结果.
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| 关 键 词： | 概率度量空间 序压缩算子 单调算子 不动点 |
Fixed Point Theorems of Contractive Operators in Ordered Probabilistic Metric Spaces |
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| ZHU Chuanxi
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LI Feifei.Fixed Point Theorems of Contractive Operators in Ordered Probabilistic Metric Spaces[J].Mathematica Applicata,2011,24(3). |
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| Authors: | ZHU Chuanxi LI Feifei |
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| Institution: | ZHU Chuanxi,LI Feifei(Department of Mathematics,Nanchang University,Nanchang330031,China) |
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| Abstract: | Partial order is one of the useful methods to study nonlinear operators.A partial orderingis definedin probabilistic metric metric spaces,and some problems of fixed point are studied by the partial order in probabilistric spaces.Some theorems of fixed point for ordered contractive operator are generalized,and some new conclusions are obtained. |
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| Keywords: | Probabilistic metric space Ordered contractive operator Monotone operator Fixed point |
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