| On Concave Operators |
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| 引用本文： | Zhan Dong LIANG Wen Xia WANG Sheng Jia LI. On Concave Operators[J]. 数学学报(英文版), 2006, 22(2): 577-582. DOI: 10.1007/s10114-005-0687-1 |
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| 作者姓名： | Zhan Dong LIANG Wen Xia WANG Sheng Jia LI |
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| 作者单位： | [1]Department of Mathematics, Shanxi University, Taiyuan 030006, P. R. China [2]Department of Mathematics, Zhengzhou University, Zhengzhou 460052, P. R. China [3]Department of Mathematics, Taiyuan Teachers College, Taiyuan 030012, P. R. China |
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| 基金项目： | Supported by NSFC （10371068）, NSFC（60174007） and-Science -Foundation of Shanxi Province （20041003） |
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| 摘 要： |
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| 关 键 词： | 凹算子 递增算子 Banach空间 固定点 存在性 |
| 收稿时间： | 2003-03-17 |
| 修稿时间： | 2003-03-172004-07-20 |
On Concave Operators |
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| Zhan Dong Liang,Wen Xia Wang,Sheng Jia Li. On Concave Operators[J]. Acta Mathematica Sinica(English Series), 2006, 22(2): 577-582. DOI: 10.1007/s10114-005-0687-1 |
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| Authors: | Zhan Dong Liang Wen Xia Wang Sheng Jia Li |
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| Affiliation: | (1) Department of Mathematics, Shanxi University, Taiyuan 030006, P. R. China;(2) Department of Mathematics, Zhengzhou University, Zhengzhou 460052, P. R. China;(3) Department of Mathematics, Zhengzhou University, Zhengzhou 460052, P. R. China;(4) Department of Mathematics, Taiyuan Teachers College, Taiyuan 030012, P. R. China;(5) Department of Mathematics, Shanxi University, Taiyuan 030006, P. R. China |
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| Abstract: | We prove that a u0-concave operator can include other concave operators, and derive a sufficient and necessary condition for the existence and uniqueness of the fixed point of a kind of u0-concave operator under a weaker condition. |
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| Keywords: | cone increasing operator Banach space concave operator |
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