| 半序赋范空间及增算子的不动点定理 |
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| 引用本文： | 张宪.半序赋范空间及增算子的不动点定理[J].应用泛函分析学报,2001,3(3):256-260. |
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| 作者姓名： | 张宪 |
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| 作者单位： | 集美大学师范学院数学系福建厦门 361021 |
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| 摘 要： | 在赋范线性空间E中定义了由E上连续性泛函确定的半序，并由半序引出E上的锥，讨论了半序和锥的若干性质，最后证明了几个单调增算子的不动点定理。
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| 关 键 词： | 赋范线性空间 连续线性泛函 半序 单调增算子 不动点定理 |
| 文章编号： | 1009-1327(2001)03-0256-05 |
| 修稿时间： | 2000年10月24 |
Partially Ordered Normed Space and Fixed Point Theorem of Increasing Operator |
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| ZHANG Xian.Partially Ordered Normed Space and Fixed Point Theorem of Increasing Operator[J].Acta Analysis Functionalis Applicata,2001,3(3):256-260. |
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| Authors: | ZHANG Xian |
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| Institution: | ZHANG Xian Department of Mathematics,Teachers College,Jimei University,Xiamen 361021,China |
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| Abstract: | In linear normed space E we define a partial order which depends on the continuous linear functional. By the partial order we construct a coine of E and discuss properties of the cone. Finally, we prove some fixed point theorem of increasing operator. |
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| Keywords: | continuous linear functional partial order cone increasing operator fixed point theorem |
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