| 锥度量空间中增算子的不动点定理 |
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| 引用本文： | 尹建东,尹国昌. 锥度量空间中增算子的不动点定理[J]. 江西师范大学学报(自然科学版), 2010, 34(2) |
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| 作者姓名： | 尹建东 尹国昌 |
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| 作者单位： | 1. 南昌大学数学系,江西,南昌,330031
2. 江西师范大学体育学院,江西,南昌,330022 |
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| 基金项目： | 江西省自然科学青年基金 |
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| 摘 要： | 在锥度量空间E中通过E上的泛函引入了半序,而使得E成为一个半序锥度量空间.然后在E上定义了单调算子并研究增算子的不动点存在性问题,得到了一些不动点存在性定理.所得结论推广了部分文献中的相应结果.
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| 关 键 词： | 不动点 增算子 锥度量空间 |
The Fixed Point Theorems of Increasing Operators in Cone Metric Space |
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| YIN Jian-dong,YIN Guo-chang. The Fixed Point Theorems of Increasing Operators in Cone Metric Space[J]. Journal of Jiangxi Normal University (Natural Sciences Edition), 2010, 34(2) |
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| Authors: | YIN Jian-dong YIN Guo-chang |
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| Affiliation: | YIN Jian-dong1,YIN Guo-chang2(1.Department of Mathematics,Nanchang University,Nanchang Jiangxi 330031,China,2.College of Physical Education,Jiangxi Normal University,Nanchang Jiangxi 330022,China) |
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| Abstract: | A partial ordering is firstly introduced by a function in cone metric space and the monotone operator is defined.Then some existence problems for increasing operator are researched and some fixed point theorems for increasing operators are gained.The given results generalize some known results. |
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| Keywords: | fixed point increasing operator cone metric space |
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