| 列压缩算子的不动点定理及其应用 |
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| 引用本文： | 梁展东,王文霞.列压缩算子的不动点定理及其应用[J].数学学报,2004,47(1):173-180. |
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| 作者姓名： | 梁展东 王文霞 |
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| 作者单位： | 1. 山西大学数学系,太原,030006;郑州大学数学系,郑州,460052
2. 郑州大学数学系,郑州,460052;太原师范学院数学系,太原,030012 |
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| 基金项目： | 国家自然科学基金资助项目(10371068)，山西省自然科学基金资助项目(991003) |
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| 摘 要： | 本文在无连续性及紧性的假设情况下,讨论了u0-凹的列压缩算子及一类混合单调算子的不动点定理,并给出了在积分方程中的应用.
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| 关 键 词： | 锥 范数 不动点 |
| 文章编号： | 0583-1431(2004)01-0173-08 |
A Fixed Point Theorem for Sequential Contraction Operators with Application |
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| Zhan Dong LIANG.A Fixed Point Theorem for Sequential Contraction Operators with Application[J].Acta Mathematica Sinica,2004,47(1):173-180. |
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| Authors: | Zhan Dong LIANG |
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| Institution: | Zhan Dong LIANG
(Department of Mathematics, Shanxi University, Taiyuan 030006, P. R. China) (Department of Mathematics, Zhengzhou University, Zhengzhou 460052, P. R. China)
Wen Xia WANG
(Department of Mathematics, Zhengzhou University, Zhengzhou 460052, P. R. China) (Department of Mathematics, Taiyuan Teachers College, Taiyuan 030012, P. R. China) |
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| Abstract: | In this paper, fixed point theorems for u0-concave sequential contraction operators and a class of mixed monotone operators without the assumfotion of continuity or compactness are proved, separately. An application to integral equations is given. |
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| Keywords: | Cone Norm Fixed point |
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